{
  "cells": [
    {
      "cell_type": "code",
      "source": [
        "# Import Libraries\n",
        "import pandas as pd\n",
        "import numpy as np\n",
        "import statsmodels.api as sm\n",
        "import matplotlib.pyplot as plt\n",
        "\n",
        "import warnings\n",
        "warnings.filterwarnings(\"ignore\")\n",
        "\n",
        "import fix_yahoo_finance as yf\n",
        "yf.pdr_override()\n",
        "\n",
        "# %matplotlib notebook\n",
        "# %matplotlib inline"
      ],
      "outputs": [],
      "execution_count": 1,
      "metadata": {
        "collapsed": false,
        "outputHidden": false,
        "inputHidden": false
      }
    },
    {
      "cell_type": "code",
      "source": [
        "# download dataframe from yahoo\n",
        "df = yf.download(\"AAPL\", start=\"2016-01-01\", end=\"2018-01-01\")"
      ],
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "[*********************100%***********************]  1 of 1 downloaded\n"
          ]
        }
      ],
      "execution_count": 2,
      "metadata": {
        "collapsed": false,
        "outputHidden": false,
        "inputHidden": false
      }
    },
    {
      "cell_type": "code",
      "source": [
        "df.index"
      ],
      "outputs": [
        {
          "output_type": "execute_result",
          "execution_count": 3,
          "data": {
            "text/plain": [
              "DatetimeIndex(['2016-01-04', '2016-01-05', '2016-01-06', '2016-01-07',\n",
              "               '2016-01-08', '2016-01-11', '2016-01-12', '2016-01-13',\n",
              "               '2016-01-14', '2016-01-15',\n",
              "               ...\n",
              "               '2017-12-15', '2017-12-18', '2017-12-19', '2017-12-20',\n",
              "               '2017-12-21', '2017-12-22', '2017-12-26', '2017-12-27',\n",
              "               '2017-12-28', '2017-12-29'],\n",
              "              dtype='datetime64[ns]', name='Date', length=503, freq=None)"
            ]
          },
          "metadata": {}
        }
      ],
      "execution_count": 3,
      "metadata": {
        "collapsed": false,
        "outputHidden": false,
        "inputHidden": false
      }
    },
    {
      "cell_type": "code",
      "source": [
        "df.head()"
      ],
      "outputs": [
        {
          "output_type": "execute_result",
          "execution_count": 4,
          "data": {
            "text/plain": [
              "                  Open        High         Low       Close   Adj Close  \\\n",
              "Date                                                                     \n",
              "2016-01-04  102.610001  105.370003  102.000000  105.349998  100.274513   \n",
              "2016-01-05  105.750000  105.849998  102.410004  102.709999   97.761681   \n",
              "2016-01-06  100.559998  102.370003   99.870003  100.699997   95.848511   \n",
              "2016-01-07   98.680000  100.129997   96.430000   96.449997   91.803276   \n",
              "2016-01-08   98.550003   99.110001   96.760002   96.959999   92.288696   \n",
              "\n",
              "              Volume  \n",
              "Date                  \n",
              "2016-01-04  67649400  \n",
              "2016-01-05  55791000  \n",
              "2016-01-06  68457400  \n",
              "2016-01-07  81094400  \n",
              "2016-01-08  70798000  "
            ],
            "text/html": [
              "<div>\n",
              "<style scoped>\n",
              "    .dataframe tbody tr th:only-of-type {\n",
              "        vertical-align: middle;\n",
              "    }\n",
              "\n",
              "    .dataframe tbody tr th {\n",
              "        vertical-align: top;\n",
              "    }\n",
              "\n",
              "    .dataframe thead th {\n",
              "        text-align: right;\n",
              "    }\n",
              "</style>\n",
              "<table border=\"1\" class=\"dataframe\">\n",
              "  <thead>\n",
              "    <tr style=\"text-align: right;\">\n",
              "      <th></th>\n",
              "      <th>Open</th>\n",
              "      <th>High</th>\n",
              "      <th>Low</th>\n",
              "      <th>Close</th>\n",
              "      <th>Adj Close</th>\n",
              "      <th>Volume</th>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>Date</th>\n",
              "      <th></th>\n",
              "      <th></th>\n",
              "      <th></th>\n",
              "      <th></th>\n",
              "      <th></th>\n",
              "      <th></th>\n",
              "    </tr>\n",
              "  </thead>\n",
              "  <tbody>\n",
              "    <tr>\n",
              "      <th>2016-01-04</th>\n",
              "      <td>102.610001</td>\n",
              "      <td>105.370003</td>\n",
              "      <td>102.000000</td>\n",
              "      <td>105.349998</td>\n",
              "      <td>100.274513</td>\n",
              "      <td>67649400</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>2016-01-05</th>\n",
              "      <td>105.750000</td>\n",
              "      <td>105.849998</td>\n",
              "      <td>102.410004</td>\n",
              "      <td>102.709999</td>\n",
              "      <td>97.761681</td>\n",
              "      <td>55791000</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>2016-01-06</th>\n",
              "      <td>100.559998</td>\n",
              "      <td>102.370003</td>\n",
              "      <td>99.870003</td>\n",
              "      <td>100.699997</td>\n",
              "      <td>95.848511</td>\n",
              "      <td>68457400</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>2016-01-07</th>\n",
              "      <td>98.680000</td>\n",
              "      <td>100.129997</td>\n",
              "      <td>96.430000</td>\n",
              "      <td>96.449997</td>\n",
              "      <td>91.803276</td>\n",
              "      <td>81094400</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>2016-01-08</th>\n",
              "      <td>98.550003</td>\n",
              "      <td>99.110001</td>\n",
              "      <td>96.760002</td>\n",
              "      <td>96.959999</td>\n",
              "      <td>92.288696</td>\n",
              "      <td>70798000</td>\n",
              "    </tr>\n",
              "  </tbody>\n",
              "</table>\n",
              "</div>"
            ]
          },
          "metadata": {}
        }
      ],
      "execution_count": 4,
      "metadata": {
        "collapsed": false,
        "outputHidden": false,
        "inputHidden": false
      }
    },
    {
      "cell_type": "code",
      "source": [
        "df.index = pd.to_datetime(df.index)"
      ],
      "outputs": [],
      "execution_count": 5,
      "metadata": {
        "collapsed": false,
        "outputHidden": false,
        "inputHidden": false
      }
    },
    {
      "cell_type": "code",
      "source": [
        "df['6-month-SMA'] = df['Adj Close'].rolling(window=6).mean()"
      ],
      "outputs": [],
      "execution_count": 6,
      "metadata": {
        "collapsed": false,
        "outputHidden": false,
        "inputHidden": false
      }
    },
    {
      "cell_type": "code",
      "source": [
        "df['12-month-SMA'] = df['Adj Close'].rolling(window=12).mean()"
      ],
      "outputs": [],
      "execution_count": 7,
      "metadata": {
        "collapsed": false,
        "outputHidden": false,
        "inputHidden": false
      }
    },
    {
      "cell_type": "code",
      "source": [
        "df[['6-month-SMA','12-month-SMA','Adj Close']].plot(figsize=(10,8))\n",
        "plt.show()"
      ],
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 720x576 with 1 Axes>"
            ],
            "image/png": [
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\n"
            ]
          },
          "metadata": {}
        }
      ],
      "execution_count": 8,
      "metadata": {
        "collapsed": false,
        "outputHidden": false,
        "inputHidden": false
      }
    },
    {
      "cell_type": "code",
      "source": [
        "# EWMA\n",
        "df['EWMA-12'] = df['Adj Close'].ewm(span=12).mean()"
      ],
      "outputs": [],
      "execution_count": 9,
      "metadata": {
        "collapsed": false,
        "outputHidden": false,
        "inputHidden": false
      }
    },
    {
      "cell_type": "code",
      "source": [
        "df[['Adj Close', 'EWMA-12']].plot(figsize=(10,8))\n",
        "plt.show()"
      ],
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 720x576 with 1 Axes>"
            ],
            "image/png": [
              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\n"
            ]
          },
          "metadata": {}
        }
      ],
      "execution_count": 10,
      "metadata": {
        "collapsed": false,
        "outputHidden": false,
        "inputHidden": false
      }
    },
    {
      "cell_type": "code",
      "source": [
        "# ETS Decomposition\n",
        "from statsmodels.tsa.seasonal import seasonal_decompose"
      ],
      "outputs": [],
      "execution_count": 11,
      "metadata": {
        "collapsed": false,
        "outputHidden": false,
        "inputHidden": false
      }
    },
    {
      "cell_type": "code",
      "source": [
        "result = seasonal_decompose(df['Adj Close'], model='multiplicative', freq=52)\n",
        "result.seasonal.plot()\n",
        "plt.show()"
      ],
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ],
            "image/png": [
              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xdpr983DKe3vJQQ5Sv2RiEJlmMbn0i4XstFgx7qUcXUzesc8rBpEHfcfFl8O8t+y6h1G7knlisJRLDALIXjD3EqkEBGPsDgAHQy55N/iucczeVnTU3ocajLFbACykoXuoQo5BlHNw8eQdg2hLfvhMLQgjfxdTy8gnxdehn6MFIydnZJ3mO99ogzFgtMYzmCYGyzlkMeWnGPQKqmIQ6wG8KP0/ZR+LwiW2S+pSIiqrubXsIfvC80h7yzvNtUNAZRqkliy33CwIHgMA7DTXDMedMYaW4cZAsk6zFc+aB31RRS1cTKsGSplutdsyXLdu1u+9l1AlIMjnWFSPg88COAnA6wCMg29B2v3FRBcR0WYi2jw9nV1X0JUgb1+4NwaQK/2Cnln8pWWILKaXRh1E1q4G0c00PxeTqxhlTX92uVNATAyWMbfczlQ56VCKDrMYRBSmABwp/b8BwK6wDzDGdtsuqSaAKxGw/Shj7HLG2CbG2KbJyclUN7fcMnHn1unMuoq2ZVdHzjGAvHpB5cEkfWMQeccAMk5OANDh3ss6OQFwBUSWab5iB7mRqnAx8d8zGewsZ1mM78XddzEF4loAF9jZTGcBmGOMhW4lJmIUREQA3gPAN0OqF9i/2MRHvnUfbn9mnyoSHXBiEAUNtZLOc7IXsk25E0yiUtQBINOdxeQ02yz36JUZVLnAi5aybvssxwCGK0Xsnlvu2OlMJdpGpwWR9b7UXgFVLmRHf85rQQyIdhvq379ozumMe0F3Osseakib5noNgLsBnEhEU0T0cSK6mIguti+5HsB2ANsA/AuAP5E+eyeAHwJ4m/3Zc+1T3yOixwA8BmAVgC+meqIYWDMsNvHIhlnIjKpWKuD0o8Zwy9PZCCegMwYwafel2ZehgOLFYi79fRlt/dn2BEnPOnYCv8hw3OU6AAB456nrsHe+iVszuoeW2RkDmBwqY99CdntxCBdfHvSdGISUxQRk025DTkoB+HNPZ7jeeolCmg8xxj4YcZ4B+ETAuTcFHD8nzb2kQamgYWKglNkexc5CtTWpt5+8Bn/7s6fx4sE6jhyvKacvxwAGywUMlgvYm+H+zDL9tcMVLLVMLDTaGKoUldJtSZYbALz9VWvwVz95Atv2LTpbgKqEqAMQ9H/z5DVYO1zBt+9+Hr9x8hrl9Nueebd2uIJ7tx9QTjeM/rbpxUxoCwExUnXrIIBs2m3IzTkBYO1IBXue4PtxcwfJoYPDtpJ6zXAlMybpaLIanxxvf9VaAMBNT+7NiD7f9lFgzXA5s/iLYVqwGN8PG4CzBWMWY+9dqL9pM+Ubn9ijnDYg7eQnNev70JlH4c6t+7E9A0Yp5p089vMNIzP3oh/9rLYcnV1uYahccMZ+YtDux5SJBWE/t017zXAFLcNyhNahhMNWQGRl9jXaJr70s6cBAJUS9/8fs2oAx6wawN3PqtXmHp2axY8fmkK9ZaBqxx4Ae6FmYOrfs/0ArrlvBwBg1RDX4LJycbVNC1++kY+7ePZ1I1W8ct0w7slIi/7B/Ts66APAB17PczduyEBIXfHL5zh9e94J12oWwvn/PDCF+5+f6aA/OVTGQtNQHofYPbeMK+963tnuEwCGKwUUNMLBDFJdr777BQDue18rxj1D916vkMrF9HJAtaijmcG+0N+95wXMN/h+tAMld7jHakUst9XuU/uuf7zL+Xug7NIeHyhj58ysUtoA8IHL73H+Pm6Su3REkFx1Nst/PLQTe+e5EOp89iLqGWnQ/+unT3bRXz1UgUZAvan2HkyL4ds2oxL0hZvlYL2FjRhQSv8vfviI87eY94JhNtuWMw9U4E+//xCAzoA0EWWWRfWPt24D4I77uBj3DOsweoXD1oLIKvXMYm7Giq65bp6sU98GZSZZK2ZaNAQAx05yhpRVPYKcJ1QrucwoqzRbOVNpsNzJDLNId11suMqHoD8mGFWGFcWcPp97bh8ytcIxSAHIYs3J1tFgX0AcusiqurEaoCmVCrpy+sescrXEQY8FsdAwMmv3MVQuYNL2AWfV9lkedzkwmJVglvc/li0IIBshNd/opi9bEFlisGILiIyUA6EQaJ6AcBZrfkEWzJVOATHTFxCHDrIqWqqW/L14JV1zsmxUYeOEmyHldbMA2RQNAcAxkwMOk86q1UioYM7gvcvaYpeAyGDTJJlRCRfPWE6MasC2YLIqVhTvXvMkDGXRan5BEszCchO1GFlb7b3AYSsgstq4RiwKf/pqTW3ZpeW1IIDsTN7VQxXn76z2owgSvVm5mGThO9hlQVDGjIrTHyjpKBU05e/dktxrfB92j4BQ/OwivuGdA6WCprzNS4dgtse9qGsYqRb7FsShhKwsCNPyp5HF5i1tyUKRtdgx24LISkBM2hlMQHZMwgj4/lJG7cbDLYgsXEzdjIqIMF4rKX/vbWnOy88uXEyiwlsVhIvJW7GehXLgJyAA7mbqWxCHELLSJNsBbqQsmITRsVBdl8tExhaEiD8A2bkZ2gHtLDKzIGQBUfIJUitnVK4FIVux4wPqBYQhKyaSi9VVDtRazsLFxDxTIAuvgTzu8rOPD5Qyc+n2EodtmmtR12AxrmmKghYVEIvlo7+2seN4FkyibTKMD5TwislBHD3hBqyFBaHa5BXP+KEzj3aPZbR5vbAg3nPaEb73pBpCWzxp7VBXxXgW1qvQZE/dMNJxfHygpDxILeb8MasGcM5Jq53jxYzevRBE/9+HXttxPMsg9VHjtQ4X71ithKmZulLaKnDYCgjXF85QUJeS7Wjx/+2cV3TS1/VA66JntE0LJ68bxnf/4MyO42M1kXantrJzzXAZm44ed6qnAcnNoNzFxMf2k+ee2HE8K9fizFIL1aKOG/6fN3edy8bVwd/tDy9+Q8fx8QH1jEq4mD72xo244A0bneNZWY+GxbBqsIxz7Y4FMv2sssd++t9+veP4+EARj+089CyIw9fFZE/WP/7eA0rpeNstyPQXmwb+zq6yVgHD6myxISDajl/682dw9d3Pq6NvMhQ8qSSa/f/Xfr61IxW01/B21BQo6TpMi+Fz//GYMtoATyUV6Y1e7Jlr4Jfb9uOOZ9TtZ7LQMFAqaE6AWGB8oITnD9Txlq/cqoy2EM6ixYaASHH+6JX346KrNyuk7zanlDFTb2PzCzO44XF1VezCgvAmJowPlLF3vonXXfJzZbRV4LAXELdtUbvpkHB1eCesSNH+5u3PKqPdNlnXIhUQmtSVdz2vln6I+05lyweXSXly4e2ust+9Z4cy2gC3IIIExC67H9F1j4Z2wF8R5hsGhivdDgJxT88fUGdFuL2IOsdejoWo7EMWpBg9tXseAPB/H5xSRnuhYWCwXOhwLwFuavmh1tU1bbvvK4hoHxH57tlg7wNxGRFts7cQPV06dwMRzRLRf3o+cwwR3UtEW4no34jIf3X1CF7GoQpiVy8vo6431bbZAII1KcDNEfdjIj2jbwXTB7qDiL2Et2GaQFbV6wfrbafuIAjDVXVjH9QtN+qeegF3JzuPgFAY65PRNi0UAxQjAB09mnoNPu5+gvnQ3EE57Ru7CsB5IefPB3C8/XMRgG9I574C4CM+n/kSgEsZY8cDmAHw8ZT3FgtZdbQUDMm7WJZs+kF1Er0A16T8v18cV7lYjBALBoDSTVSCmNRSBoIZsC2IWvjYDitsd77QMHwZ1UQWAsLTxVWgKM31oyfUtbk3TH8LQkDluM8HCgi1re1VIRV3YozdAeBgyCXvBnC1vYXoPQBGxY5xjLFbACzIF9u7yJ0D4Ef2oW+D7yqnDFkxCsOyoGvU1Qde0K8oFBBck/JfKMKCUrlY2iEWDADUW+reQRCTWspIMZhZasWwILLXZEWCgkqIuFuYBbFqUJ1GbVhWqGLiNy69AhfM3e/1cLMgorAewIvS/1P2sSBMAJhljBkxr18xsmIUfoFamb7KrpZhmpQ4qtLN0TatUE1OpRUXxKSyUAxahoWFpoHxCGas0npcaBgYKnczKpU0BUTmnpdJy7QNhduutkwWqpioFxDd36+Spkqomi1+bydsRsS+noguIqLNRLR5ejp9gPm3Tl0HANgwVk39HXEgb1ov42Nv3AgAePX6ka5zvYJhBdd4/NV/ORkAlO3qZlmsY6MgGWKxqHUx+VtuH3z9UQCATUePKaM9a9cZBFkQ79u0AUB3pW8vsdAwfIV/FjvpuZl7nWM/UNKdmJel8NmDapv+6OxjldEUCIr9HDGils+ogioBMQXgSOn/DQB2hVy/H9wNVYi6njF2OWNsE2Ns0+TkZOobfPX6EZxx9JhSXyggmHS3/Hvriatx1HhNaZC4bbJAF9P7X3cUKkWF7i3LP/YCANf/Gd91VuW+DEGW21nHTuCENYNKXRyiEC0oi+nT550EQLWA8GdUI9UiPnTmUWpdPKZ/inFB1/Do/zwXv/HKNUotiKB3/9/fdjw/r1gw+1kL1ZKO//rGY7rSX1/qUMUhrgVwgZ3NdBaAOcZYYE6fvYf1rQDeax+6EMBPFN2bA51I6SIFwlNNdY2gslaOZzEFv+KCpil7fsNx8XTTFzuMqdxZLMhyAwBd02AqTKESrSyC/P1iPqgbewtLLTPQraETdexT0nP6ln+KsUBBI6UWRNuyfF1pov23asstaNwLunp+02ukEmdEdA2AtwBYRURTAD4PoAgAjLFvArgewDsAbANQB/Ax6bN3AjgJwKD92Y8zxm4E8GkAPyCiLwJ4CMC3Uj5TbOgadfQrUoGwVFNdo8Bmfr1AOySLCeCprqoFhB990UxNqQURYLkBgK6pZRIzdoV6kAUh9AVV97Box1mC3Ie6RoHNDHuBoBTjDvoK532QBSGOqRr3RttEy7QCEz+0DBTSXiOVgGCMfTDiPAPwiYBzbwo4vh3A69PcT1roGqGpuLNkUNEOoN6CCRNOAF/AquiHuZgqdnWv6iB1sOWm7rkB18U0FpDa6FgQirR4Uc0baEFoBJV8yghIEMiKfjsgBqErFhBi3IPcxgWNlFquKnDYVlIDQoNX7WIKLtpRST8sSCygESnzxwa1WwB4u41KUVMbpA6z3BRaToDbBDHIxaTaghD9gMIYlVINPiCLSUC5BWH5ZzERkVKrWfS/CrLcNHu9s0NISPQFhOKX1TT8/aEOfcUafFiaqUpfcFC7BYFqUVdqQYSNu8rYC8A3CxoqFwJjIKpjEItOP6BgRqXSsxqUYiygK6ZvmMF1ECrXvHDtBQWihYvrUPIyHfYCwlDcUXXPXAOrhyu+57gmpcofyldg0Nab6umbofRrpYLSGMSeuQbWBIy7pjgGsdwyUSsHj7twj6sae2GZBd2DagtC0A+q8dFJPf2geadSKRMKT9C4CxeX6rhnL3F4CwjF2RwAMDVTD6y14L5YxQy6FC4gVNFfjhAQlaKmNItpaqaODaP+415QnMUUxqAA7urQFVpvUcJZIx4DUOXqiJp7uk5Q2XF9uWUG01YY94sUjMKCOHTkw2EuIHR1GjTAW0nM1NtYH8CoVFowy06ldvArVmlBCPpBC5VbEGqqmtumhT3zjUDBrCl8boA/e1SFvK4w/hPFqFRn8ziadCiTVmxBBNFWaEFECWad+hbEIQWd1OZj75xZBhBcra3SgonS4AEo1WKXI7TIalFXFqTeM9eAxYD1AeOuOg8/jEEJKLXeWuHuRbEnhyorSrgOKwE7cSmNvZkW2ibLx8UUJSD6FsShhYJiTXJqNlxAFBRaMFFaJKDWF+xYEAH0qyV1Qeqd9rivH/WvkleZvQVwTTJMMAOKrccIRpVFPUC5oDmCyIssmHSg9aJpCq1mWzCHWC9A34I4ZKAp1iSnZqIZlTI/dASDBvLVplRaEM64h1gQyl0cMQSE6vhTpRScyQOoDZKHWVAqFbNGRBNMXVPXBypuDOJQKpY7rAWEagti58wyijph9ZB/3xuV9KNcPEC+mlytpCvLYhKuvXUjwdljqrOYKjFcTCqtN42CN+hxXR3qXEy1EAGpZZAcETTvCgotiMgYhGLXngoc1gJC5UQFuKvjiNFqoKmt5ajBA9kEqYMYZbWkK8ti2jlbx+qhcqgmp1JANNpWLAtCVSaPsGC8nWxl2oBaCyJMQKpUjOoRlrOmQWHsx4SuUWj9BwDlqfW9xGEtINT/qVgyAAAgAElEQVRbEPXADCZBX3UmSWgMQmmgNNrFpMyCmF0OdC8B6gsk47iYVLq5olw8qi2IRiv8+TUiMKaGfpTlrNKCiBTMJArl+gLikIDq5lk7Z5dDBYSmkFHFrYNQGSgtaBRYTVwr8RiEilz8nTPh465rBFOhFheWhy/A554a+o2INFs33VItowxCQaGrJUox0UhtDCJs3EVXAZVKaa9xWAsIlRo8AMwth29cr9SCiOFiKij2BYcxyUpJB2O8JUavMbfcDt1aU2XTNMYYGkZ0HQRv/axGQjSMcAatOlhajxCQuq6O/vRCEwAwEbDfBbcgFI1720Q1IDEAUG+5qcBhLSBU+qIZY2i0rUhNTl2qIV8EUS4mlQG7MCYlgpgqUl0bbSuUQamM/TQNC4yFFygC9rtXxCeiLBjVAiLq3esK92UQKc5HjAa1WVFoubXNwNoPQL3lpgKpBAQRXUFE+4jo8YDzRESXEdE2InqUiE6Xzl1IRFvtnwul47cR0RYietj+WZ3m3pJApYAQmnFUJbNKC6Kkaw4zCKKvMpMljEmJc/UeB6oZY9zUD9l7WaXlFpXJIqByL5AoV4fqbJq4MRAV9HfOLmN8oIRaKaTltsLssTwFswqktSCuAnBeyPnzARxv/1wE4BsAQETj4JsLnQm+98PniUjeHPj3GWOn2T/7Ut5bbKgMVkb5Qh36CoPUcbRYlVlMYc9etRdwry0IRzCHWRAZtLmIJyBU3UN4FlUWLqagNNMO+gpMqF2zy4HWAyDifj0nCyCBYH65CwjG2B0ADoZc8m4AVzOOe8D3m14H4FwANzPGDjLGZgDcjHBBoxS6pi6bomHkKyAaMds9qLRgQi0IRS6mOBq8ylYbUT2oBJS++wjhrLySOiJIrjJIHZWgoDZ7LKZg7mcxYT2AF6X/p+xjQccFrrTdS39JQbliPYTjC1WYTRGlUSg183PUYiNjEDYD7XU1dawWIxkUKEY268tROKvemzlq7mmKBBRjzLYgQjLYVMb9IgTzYWNBxIAfc2chxwHuXjoFwJvsn4/4fjHRRUS0mYg2T09Pr+gmVWZTxGVUqtItY3UUVSig6hGLRdxbrzu6xnXtKW+zHqcXk9J0y5AYjMJ53zIsGFZwszxAnQUzv2xgqWVGpzjnJJj7AsLFFIAjpf83ANgVchyMsZ327wUA30fA/tSMscsZY5sYY5smJydXdJMqsymcDXvCJgwptiBydjGFxQGEBdHrauq8s7eiGrY596Cwk2+Ui0dTmE0Tp8WLKgtmarYOALkKiDj1J30BAVwL4AI7m+ksAHOMsd0AbgTwdiIas4PTbwdwIxEViGgVABBREcBvAfDNkOolBuytAWfsTeZ7iTia5FCliOW2ibl6Wwn9KC22pGtothXlhEf04xmwg9SLTTUupjAGVdI1MMa13V4jbpC6Vi5gZqn3713cQxh9sRVr01CRYhxj/BXR3zXbAIBQF9NQpYC9800lBZpRLiaV464KadNcrwFwN4ATiWiKiD5ORBcT0cX2JdcD2A5gG4B/AfAnAMAYOwjgrwHcb/98wT5WBhcUjwJ4GMBO+3NKceqGEQDAwy/O9vy742zY8+vHT4Ax4LZnep+wFScGMVorYna598LRoR/CJEZqfL/k2R4LZ6eTaUia66igreDZ48YgXrNhBFv2LvTcxdY2o108o1VeRKhCMYnqhQQAo3YR42yP6e+csS2IkDYrb3zFKuycXcbWfYs9pQ2IOR8279Q8t0r4JwtHgDH2wYjzDMAnAs5dAeAKz7ElAGekuZeV4JXrhlEpanjghRm8/eS1gZvcp0GcLKbTjhzD+EAJv3h6H85/9ToUdQrs45IUcTqKjtZKaLQt3v1TA8ohRT5JwBjDUtMMzEUHgOFKAbpGmF5owrJYYEPDpIijwcoLdbRa6u17j5nFdPpRYzAthod2zOKsYydC61WSII4FNTbABeRMvc2LuyKEWRIsNDjzE9a5L31bQAtNvldzfu9CE0WdMBHSveBtr1yNz/0HcMtT+7BxYqBn7z6OYBbPrWLcVeGwrqQu6hpO3TCKK+96Hid87md48WA98Np/vXM7TvvCTbG/O24W01tPXI2bntiLEz73M1x68zOB1/7t9U/h3EvviE0/TkdR0Y7iw9+6Fyd+7obA6z78r/fiJw/vjE17pt5Gy7SwZti/3QHA92UerRbxz3dsxx9/74HA6xptE8d+9rrY9OO4eMRzf/XGLTjhcz/DzFKwJXHpzc/gzV++NRZtIJ5iAACvPWoUAPD7/3ovTvjczwKve2bvAjZ+5jps27cQj34MC0Y8/y1P7cVJf3kDfrl1f+C1v9q2Hxs/cx32LzZj0X/hAF9DR43774Ei0//E9x/E9+/bEXjdU7vnsfEz1+H5/UuxaIvamzCBs26kilcdMYx/uOUZnPC5n+G2LcHW+4f/9V78+b89HIt2nHEfrhShER/Tk/7yBtz0xJ7Aax/cMYONn7kOu+eWY9FXhcNaQADAGUe7dXr7FhqB133xuqcwW2/H9l3GmTAA8BuvXO0wtf/7UDAT/Oc7tmPL3nhMAojnYhIazQMvzIRed/f2A6FMxAsxqYP2YxColfn93fjE3sBrpheasBjw5Ru2xKIdRzALF9NNT3K6C41gN88/3LIVO0IUh2D64UtrtFbCK1YPAggPWv7nI7v470d3x6LfiNhulN+bjkpRwy1Pc+b47HSwu+XyO7cDAB6diueGFcx848RA4DVi/AHgp/bz+eE/H+Xnrg25RkZcrfxtr1zjJDOEzf1fbtsfuiZlxHEtahphpFp0xn3LnuD1/N27XwAA3LXtQCz6qnDYC4jTj3IFRFDnURntmGmpcbKYAODXj1/l/B0WXEuKOJXU3kaCQYzKtJizS1sc7JnjgnbNcLiAWAxhzALinbRjNtBpGNFZTOPe5+5hwNJhFDHcdafbVkQYCvbzx+26G8fFBLiZREDw5jpp8NyBJawdroTSH5TcTyPVYuB14wPcAj0YYuHJiJO5BwBvO8nt4rNupDdrLo5gBtDh0pIF5UsVh72AeMNxE87fcbJa4mYgLMcIlgI8k+mU9TxYvqFHAkL0I4qarCcfMdzxv9/zi4pjkUIYB7ttARG1+M591VoAwBEhlobgY3FTMuPEANYOV/Du045w/o/z3uNajssR+zHLeMcp6yKvcQRkzOrfuFlUvybP+xDhKx6bfEuYuvH8/iVsXBXsXgK4e3GV3W01LFYhYgkHYgqIqGZ5AmK9AQjc3Ccp4grmM49xxz2sk7GYbcqrhSNw2AuIwXIBX3nvqQDCF4oo7onbnnq5baKok6MBhuGHF7+B30slOmcgDqOK048I4D7Ruz97Dv74LccB8H9+kau/e7YRO39773wDukaYDNhqVeCS3z4FAHDC2qHAawT9doJxB8IFs6YR/uEDr8Wnzj2Rf3cM6yTue2/E2AtC4C0nrsamo8dCmZQ41zZiCqgYLjYA+KffPwM/uOgs+7t7l+77/IE6jlkV7F4SuPWTZwMItyKFtn0gZvyDd0+OXm+aRrj+z94EIL5HIApxBfPfv+81+PGf/FpPaavEYS8gAODYSe4LDnthovo0NqNIkKVQKepYPVSOxajiTKq41bwA1/KFBu9HX7hfDIth73xwjEbG7rkGVg+VIzNzdI2w6eix0OcWQimuBt1IIJhfZVtQYYqBQBLFIM64C5yxcazD3eOFUEzi7mEQJ4sL4Mz31bYmHWdOxSnqm1tu4+BSKzT+IDBUKeLMY8ZDUz7Fu0/iYirHHPu1IXM+DeIKZpEYE5e2+oZD4egLCLibu4dpUkXNLnKJWfkbp1Ct4/t1Da0YWmIcF1dcbUamDQS5mNy/48Yh9sw1nAUYh3aYdizoJ/HBxxXMpZDn9iK+azE6e8x7D2GMouDEYBLGIGLcg7BOQl1M9u84Y+QEqGNYEADPZgorUhVCKa6AaCZYc45l1iMBEVcwA1wx0iictvAU5N3Xry8gABQL0ZNFT2hBxOmFJKNUCGcUAnHox+0oKhAWCJYDuFMz8eIQu+eWsTYiQO3QLmihDEq2YOIgieVWLMQPgMetOE/63ou6BosFJwgIRmbEZGRxelE5360lEZAxBMQBLiDiuJgAXo8x00MLIq6LCZCUol5ZECmUsliCWdXuRjHRFxCIN1nENfFdTMk0yaJOPVuocat5BUohjFJmXCosiFLEcyftW5Nk3EsJMqSSuBbjCmYg3HqTz8cVkM67D6noFdA0QlGnmM8fbUE9t38JROE1EDJGayXMLbcC42rikZM8uwrrMRbtBIIZ4Gsu1nrvca+ypOgLCMSbLEURpI75wqKa1XV9f4SrQSAO/SQxCEEbgK+LiyW0IBYabSy1zMgaCJl2HFM7LqI2KvLSBvyfW0D4gJNkryVVDIBg5UTEJ+JqknHrb1z68cY/lgWxfwlHjFRj0x6tFtE2GZYC9gSR9+yI09QxbhYTwIVjQYsnHOMgiWAGol2LYtqr2LM9CfoCArIGHRakTmZBRG176XcPvQqWxu0o6tIOZkKyBi/2+w2DqIFYGzO/PMq1lrRGIarVdSftaObrxJ4UuRbLEW4uMf5xXUxplIN4mmz0Nc8dqEemuMoQFdVBlezyu49Tyd1I8O4BIRyj51ccJSWVYI4Vc+wLiNwRpxgraRbT/HIbQ5X4hTCxLYgY9J/eMw8gfuFd/BhEtIDYO88X8uqIFFeZdtgiTepimm/EH/dijOQE8d7jMNGZpRa27VvExon4TDJq7jkxmJhB6rnlNipFLVbRp6DfivHdcSyoXbPL2DAa/9mdpokBcQj53U8vhAsI02JYbBoJ11zv3Lrzy21o5HYpjqRdCLdexLOr6DicBH0BAcnMD3kZJceCiOdq2L/YxOqQXkR+398rn+Ttz0zjuMmB0L74XtqAP6MUWUSjtSJ2zS5HMuzpRW5BJBEQYQsw6e6Q0wvN2LTDYi/y/QHxmMRPH92Flmnhd07fEIu+/P1B715or+2YgpI/fzz3HsAtmDiMKur5TYvhQMI57zRNDOiqyzosiPBA9cGlFiyGZGuuoPfMat+30MTEYHRqt0Nb19AMoS0skrxbg6dt930FEe0jIt89G+x9IC4jom1E9CgRnS6du5CItto/F0rHzyCix+zPXJbFlqMCcYLUjgURw9Q2TAsHllqYHIw/WXmwMJgJaI4vPJz+csvEvc8dxFtOXB16XQdt0ac+xII4aryGtslC+1UBrqYXVSQnUIoIkiZxMTHGsG+hGZt2vOSE+LGnHz0whZPXDXdVqIfeQ6SLif+OW8w2vRj/+YFoLVrMt6h5Jxh0Etpyd1M/JLEgnHmXYM2VdIo1rnGY9PRCM+F610Jpxx131UhrQVwF4LyQ8+cDON7+uQjANwCAiMYBfB7AmeA7xn3e3jgI9jUXSZ8L+/6eIk42SyGBL/rAUgss4WKJ8sXHjYHc89wBtAwLZ58Qf7e9cAuCL9Ij7JjCvvnohVot6h39dsIQ5VpLsuvafMNAy7CSC4gwF1PM975lzwIenZrD722Kbz0AcoJEQB8sJ803poBYaGLVYHC7ay+ixl8wxygBmYZBu23Xg2IQ7t9Rm3pNLyZTTAAunHuV4pxUMEetd3fcD0EBwRi7A8DBkEveDeBqxnEPgFEiWgfgXAA3M8YOMsZmANwM4Dz73DBj7G57L4mrAbwnzb2lQZyMBqHBx5lQB2xzOKwvvRdRedFx6W9+/iAKGuH1x4zHph0WpBcMWgS8o0zyA4stjA+UYvf4j1ooVoIYhMiX9zbjC0I5RnJC3HG/+Uneuvldrzki9DovShE1OOL54w7DgcUWJpJo0RHjL5pORsUpDixxBp2EtohBBO2sJ7/7KPeraMeR6NljBqnjrvmJBII5irYY915lWaWFqhjEegAvSv9P2cfCjk/5HM8MUcFS4VuM1w6DX1NOkFERlfYm9rONol+3ewElLdYK+m5h5ovskCj6LdNK9Nxi3IMyRWQ3Q1T8wxn3mKmOcZITRNO9qCDxUou3+EjCoOLcg3jmuMF6HqiNvw9YVJBaaLJRWVTu2Cd794PlQmAMQnYvRs27tPTjxCDi1GEsNg0MJ0xKCaMtxj1u7EkVVAkIP/WRpTje/cVEFxHRZiLaPD09vYJb7ESUL9YVENEvTEwoXUs4WXtA37SY078nPu3gIL2wIATT7TV9Yb0ELRaZSYjdyoIgmHjcQKFoeRDuYopXh2BaLNWucFFuLjH+cQSEYVpoGhZqxfgCgidHBLuP4mqyScdeYLRWDMxiEs+uUTSTFueTzL1izGK1ONfUW0ayAskI2s64H6IxiChMAThS+n8DgF0Rxzf4HO8CY+xyxtgmxtimycn4fvYoFHUt1M+bxIIwU0zWgk6hTCAufcNiiQQTEF6tK8gJqyBqwhoWc/z2cSA0PtFP3wv5lcwthwuIdOOuhTIfLe64m8meW8BppRFwD0kERN2OEwyU4zOqqHknYg9xFAMg3p4qMqpFPTAIbDnWqx7JpJ13n4B+paA5BW5hiLSaDQttk2EgiYDQIsZdWBAvUxfTtQAusLOZzgIwxxjbDeBGAG8nojE7OP12ADfa5xaI6Cw7e+kCAD9RdG++0CNemECcFyYETViXTi8KGoUzqpguJtNkiXvcC+Fj+gjIbgsieqEWEtAX+wHU2/5tn+UgdZSAEOOuJ6Bf0Mj3uQVij7tlpbIghDAP3qyJ/44TrE/ag4vTD593IjgfZUG5VnPyuRfkvnOUkxjB5DQWTK2kO2PmBetwb4WPvTvu8S23Xo27asR/IglEdA2AtwBYRURT4JlJRQBgjH0TwPUA3gFgG4A6gI/Z5w4S0V8DuN/+qi8wxkSw+4/Bs6OqAH5m/2SGsIkKSG2nY7iYXG0m/mTVNIIZFizVgt1AMowUrg4R3/C3IDwxiBhxgKSLFOCxEz/ILqaw1tDyveoJBLNO4QvVjf1EuzjSbD4TNvaAKxjiCIilJheycYu1gHDFiDHmMKqoGIQQzkndm2H0TUk5iback9OvlQuoB2wnK99TFO2llhj3ZII5TDFptF8aFkQqAcEY+2DEeQbgEwHnrgBwhc/xzQBeneZ+egFdo9CcezFf4lkQybWZQgR9d1+AKEZlJV+kurAggrOYRI+bKBdT0hiEaAkRpMnJmSzRFkRyF5OuU2imVBIXUzoLInjsAff5Y7mYUlgQhRAGLaf2RgrIlDGIsHnPGINGPE4VlSSQZs3VisEWRJIAeZpxjy+YX55B6kMOYQsFcBdqHAFhpWFUWoQvXGiyCiyIQgiTci2IeC6mpPRrtrYrtN8g+kC0gLBSCuawcXcqmWM8d5oYRCFEOAMuo0oiIHplQcgCIk6QHkhmNUfRNy0GjQgFnaLpm8nXXK2khzQKdP+OEo71VnLLLYzf8Kw+8ffLMwZxyCHKJ2jGZBTACiyIEPrCaxInBpGUUWkhbg43BhEvzdW0WKJAZc0OqNYDgoXJYhApXHsUPu5xXYvpYxDhO8YJoRcn1VIwql7FIOTiuDgCEkDiuRcag2AMmkaRKeAy/STvoFoq9NSCqCUYdy1k3BtS0D5OnyyV6AsIG3pEDMCKySgAOZsm/vBqtoAI7I0vmnfFMLV7aUGIQ04WU4/pi0UV6GKSyMXNYkqSxRVlQQhGESf2k1R7BtwYRJQFEUcxcSyIBFlMuqbFsiCiXB1pMsg4/WABbVkMOlGsrqvCtZmkQ89Aifdi8htbK5GA4IK5FrN7ABDh2mvLrr2+BfGSQJSLJ50FEZ9+GJNOQt+0rBVkMYW4mGJmMRlmshiIyNkPDFLLLqaIILWKGERc12Ka+hNAtiDCM3niKCaOJpugDiI8BhHfghDnk2SQcfpaYAzCtPj4xNnUqJ3CgquGJEgkqeJOY0GE8Zsk464afQFho6BRaKaI5SzUOHUQ9mJJoMk6TDpqd60exwAAgIgCNTk5Fx2IxyiTmflikYanuRZ1Cqy4dWmLcU/i2gtXDNxxj8reSl5/ArjusCAhFTcGAsiabG+CpaJYK85eJSuxIMIyuIh4bUM812oy2iL+5We9ymMS5d6rN5MLiIIWrJiIcS/HCM6rRl9A2IiKQViOqyGOi4n/TlSwFTObJdLFlLJgKyjdUwisOJsqAcmDtcIdEmVBjNVKMVxM/HcSAaFReADYjG1BJM8eA+JYEClcTEmC1ESB8Q+hyQ6VC0qyiMT1QemeFuPKRpyeSWkUo1qIcpIsBpEuvTjKghiqFHKvg+gLCBtRBVPOzl4xumqm0WQjGUVsF1P6dEu/5zelhR/H1E9KX7iuogTE+EApsg7CSG1BBD+ToxgosNwEfSCOazGGi6lpgAiJdlXTQyqphS98qFKI9d6BHgepnRhEvHmXtIo7rAZHnhJRLqalHqe5itjPYDl63FWjLyBsaFGFcmJv3raFcy+9A9c+4tsJBEBKX7iwIEIWC8B3Lfudf7oLD7wwE0DbShUs5QKy+7hQpDTiGT//dNuz+NljuwO/Jyl9TSNUizqWA1xMgv5YrYSn9yzgvd/4VeB3pXFz6AHP7f3O+YaB3/vmr/CrZ/cHXqekUE6qg3h0ahbvvOzOwC066y0TtaKeKFAbFoMQ2TSDlQJ2zzXwZ9c8FPg9hsXdQWkSJIJcu5adxVTUNTw6NYf/9dMnQukntyCC41/yPT21ewGvu+Tn2D3nv6PicsuErlGiRoE8OcJ/4okiuaEK71P1R9/ZHPt7e42+gLARFYMQp/YtNLBl7wL+4t8fDrzWTGFuOy6mwKIh/vuWp/fhwR2z2Py8f7f11MFSPdqCEJrNH3/vwcDvMVL4ggfKwfnoYjxEC+/NL8wExmFSpRcHPLeA4J13PDON+5+fwf3PBQnmlJZbRAxCPvz1W7fhiV3z2Lpv0ffapZaZqN0DEJXm6mqyAHDtI7sCs82SJifEoW9ZXICKTZWuvOv5wO9JQz8s/iULzf/z4BSmF5q44fE9vt+z1DISC2Zdo8DdEmULAgBufGIv5iMaVapCX0DYiKyDsM/tmm041wchTVVpdE+ezuMHA7TItMHSqBiEt69UUDpummaB1ZCeOLKLSSBqB7JE6cURrTa8SsPBJf8NkziDShGkjulaBDijCLuH5ZaRKMUV4O892tXhtrF+6EV/Abky12bws2vEG9tFwbRY4gyqsBRrP2UxSAAtt8xEiQGA4DcBsR8hmKW27UEKoWr0BYSNqEI1cU50fwzzd67EgojDKIBgAbGSdEu/RRFUnfziQX9zOw39WrEQmcU01iEg/J89bYFimOXYJZhDhNPKWm2EF8p13EPABjtLLdNpXRKbfkgMwnV1uIzqvuf8GVXaSvKoOoiwgjIv/WJC+iKo7Ge9+t1T0K6CSy3TcVfFBV9v/u9XTg4QuDdg3FWjLyBsRDXrsxjDYLng7DAWKiBYCk02IgbhnUhBAsKwrMSaFGD7RH1oi2fxMr97nzvgTz9hsz6AWxBRQerXHjXqHDsQsIF9uhYnEe+9a9wDLIi0gjkiBuHHqIItCNPpjhsXcXoxnbzO3WM7SECkFZBh9E07i2nNcMU51giouE9Dv+pYEN3KiVAaRqqu9RSkmCy3jEQprkC4S1lYEKduGHGOBY27avQFhI0gDVrAtBh+69R1+NcLNwEI37lKRQzCZAzvPGUd3vWaI3DG0WM40GsLIkCTFIc0IvzkE2/E+zcdiZFqMZRRJA3WDpSDBYSgf/qRY3jDsRMAwoSjPe5J2n1H7IdgMoZzX7UGv3XqOpx17HigcEra5lxA0whEwTEIkzGsH63iQ2cehe//4ZkYLBcC3/1SCkYlCrb8XIaCGf/uGRvw3jM24I2vmMCDO2Z8s3qMFAWaMn0/iCymP3vb8c6xUMUodZqrn4uJ/77kt1+NT517YijtpaaZatwBfwVAJAecf8o6fOB1R+LNJ0zisam5QCtbJfoCwkacgikiwjknrcFHzjo6UJMB3BhEqiwmH1cDY7x513GrB3HZB1+LycFy4GRJbeoH+OIF49IIeM2Ro/jSe0/FcZMD2D3X8P2edpoYRLEQLCAEfQ348ntPBeC2V/bCSS9OECyME4M4emIA//ih07F2uBJ4n2nHHQhv98EYf/a/+e1T8GvHreLCtOl/D/U0jMoeKz/ywoIYrhTw1d97Dc579To02hZmfTTp9N1sg+NujPEeZCPVIv7p908HgMBgrWEmF9DCHef3TuXW8Z946yuwcaKGpaBxbxkpXEyddGQIC2KgXMDf/e6peNdrjoBhMexfCC8UVYFUM5qIziOiLUS0jYg+43P+aCK6hYgeJaLbiGiDdO5LRPS4/fN+6fhVRPQcET1s/5yW7pHSIWrDIF60E+9awai0FBaEf8M8m669mMP8xmmyiIDgdud+1lBBD+7fkyoGUQpOc5VdXFFVxypiEJblBujD+halca0JRHU0lQVeWGuKejs5owrrJts0TBQ0cnZpK4ZYuam72YaMqew2CmuLIegnVUxEinVYFpNYw2HbAdRb6S0Iv/UuYhAV20shLLOw7QBUIfEbJSIdwNcBnA/gZAAfJKKTPZd9FcDVjLFTAXwBwN/an30ngNMBnAbgTACfIqJh6XOfYoydZv8E55EqQFhWAdC5UKMERBp/tJiIvnEAh/HZ9xqSeWKkyOYA7IUaEoOQs5iC6DPGUvmCw1xMzkK124EAIf76VJZbeDsDU1IMwvzlaWMQQPimRaKjqXu/wfeQyoLQggVEo211uFKj5qiaLCb+nbWIfUNMi8XKdvKiFhD/EkpDx5oPmCf1FEHqsM4JjbZlK0R87MUYhKVjq0IaC+L1ALYxxrYzxloAfgDg3Z5rTgZwi/33rdL5kwHczhgzGGNLAB4BcF6Ke+g5wvKSATejAojRATTFYgnvqNqpzYTRX0nLhzAXU6cF4S9M0/bjieNi0jWK7Hyqos26rBiEZdSkZZBAvI6m8rVB95BGk3Ut1+732TRMlKWsqLA5mjpIH6KYWdKYiuB70L4haWIQQHCKtQhgto8AACAASURBVNdyDouV1FPFfiLGXRLMcTcLU4E0AmI9gBel/6fsYzIeAfC79t+/DWCIiCbs4+cTUY2IVgF4K4Ajpc9dYrulLiWicop7S42wykbA1iQlbSIqoJ2maZmg44Uoty9oEv0wCyK1JufD9H2ymIIYWpogMSC0OMM3UGpKmlxUWwrRuydpwVLQexcFecIdENaOhbf7ThmDCHHZtT2+/aD3ZFkMy+3kmqwWInRbhoWS9Exhc3Ql+2FEZTEBUsZRSBZTmiSBKAtCVsqC1vxSyjoIAL5KacuwnN5n8rV5NO5LM6P93oL3zj8J4GwiegjA2QB2AjAYYzeB71f9KwDXALgbgFAJPgvgJACvAzAO4NO+xIkuIqLNRLR5eno6xe37Izqu4LpuoiyIdHsyBDM/oeGIxc81+N7FAADhY+0+7mdB6OTvjxX3lDQfvVrSYTH/PHPL4i0cNI1Ct0YV9NM0iwt6lWITI1F8FhUrSO1iCplPy22jI3U1yOIRjDOxBREypt49LsLcUW0znYAMTXOV3mfU3uVpC0RrpYJv0oO34WbQOzJMCy3DStRiXXwf4G9BeOM5jjA5FGIQ4BaDrPVvANDRmIgxtosx9juMsdcC+B/2sTn79yV2jOE3wYXNVvv4bsbRBHAluCurC4yxyxljmxhjmyYnJ1Pcvj/iuI3EZNE0AmMhqYkptMkwLcG7EUzYLmjGihaq/2QV5+V79fVDp9yXeCCkolV2XUQWE6Zg0mGWY5dgDmFm7RUEqcMsE6/bKEhILaXYtEZ8H+DP9L3jWQiZoysr0PRfS/J3xtk3JA39WoCLydv4Mchy8yoRcRG1za93vfF7OjQExP0AjieiY4ioBOADAK6VLyCiVUQkvvuzAK6wj+u2qwlEdCqAUwHcZP+/zv5NAN4D4PEU95YaYke3rXsXsGu2s0qYMdaRJRHFqAyLdbWmiIKYBI/vnMP+xc5CKLH4q0WXUQXTTheD0Ihw17YDXW4e/yymIBeT5ZxPAsGA/XoMyVpkVLDOMFmiFFeAv/cXDy775vYLf7dg0GGa/kosCI0IBxZbeGxqruucN/AcdA+OMEtaSW2P19757uI7r0UWlruf2rVp05/1aeUuf2dYUZu4Nq2A2PzCTFfaujeeFqQUiXFP0slVfB/gXwDnHcso16pKJBYQjDEDwJ8CuBHAUwD+nTH2BBF9gYjeZV/2FgBbiOgZAGsAXGIfLwK4k4ieBHA5gA/b3wcA3yOixwA8BmAVgC+mfKZUKGiEZtvCe795N750w9Md58R7cSeLZh/nAmXjZ67DE7vcxW2Y6Xd1u+T6p/Dff9DZNdNrQeia5mhcF1xxHy684j5+PxaDxZJr8ABwn93r5dYt+zqO++01LKd7nnvpHfjCT58EkK5AEHAX1/v++e6uc7K57WpdwI4DdWz8zHUdXW3TdLJ95MVZALwRnhfencJk7f3i7zyA933Tvd+VxSAItzy9D//lH3/ZdW6pZXTsMyDfwyv/8gbnvtPsaia+DwDe/fVu2t79zeVizqvueg6v/vyNzr2kTY5o25//hE8DSFN696WChqJOWGqZuP6x3dj4meuwINVEmCm7GE/NcGXQu+a9CQ9yDOL0v74ZX71xC4CVj/unfvRoV5qtN54iexeahonzvnZHaEflXiLVjGaMXc8YO4Exdhxj7BL72F8xxq61//4RY+x4+5o/sN1GYIw1GGMn2z9nyamsjLFzGGOnMMZezRj7MGPMv2WlIuga3zVrbrntaAVTM3XM1dtd5qZsQVxnvyjRSA2wF3WKlgcCgv726UUsNQ1pEnbHIO54Zhq3P8NjMW6Lj3SaLMADZJbF8NTuef6dlgjWudfoxGktNQ1s2buAK+56DkC6NudA9+JqGRa27l1w6IuvE1XHpmXhF0/z8f6Ph3Y6n1tsJh93YbXsW+CFf0/umnesKGFBiO8saG7s5YYn9jhCVdxn2nH3VujOLbfx4sE6gO5GcMLN1TIsLLdNfMVmVCKRIemeCIv2MwolaLFp4IUDSwC6NVmnHYxl4X/+9EksNg1H805bKLfbttbFe5itt7DTPualz9vCm7jslq0AgBcO1J1zaeogAGCHPc575/n7f3rPPCyLdblLheXGGMPBpRb+0RbMRspxl+dKo22h3jLw3H5p3KlbQFiM4Z7tB/H0ngU8tWch8bOmQb+S2ob8wsRi+fUv3Yp3ff2XXZqx3DfJ3cXLXcSLTdNp1RsX8kI4ce0w5uptnPP3t+Mv/+Nx1D2ujqAYhHuf6V/rSLWEb9z+LM7/hzvx+M45qSq804IwTIZHpmY7Put3bRw02p3unf/3x4/hNy+9AzNLLdsq6NRiDYs5DdZk5rnUNBKPu8Da4Sru2rYf77jsTnz/vh0AXP9yteRabn6xp7T1HwILjU4N8qy/uQVv+vKtAET7jE4LwrBY1/araTPIvO7UC6+4D2d/5Tb7mTq1cr8YhHDNGVbyDXsAYJe9x8IRo7zf0hv/7hd449/9AkC3VVIr8aaOIktNzmhKWyAq1u+RYzU8uGMG533tTnzrl891WRDCclvwpNm2U9TeAJxHCLQMCxd/90G89au3wbRYV0aYHIP4xVN7nc9kgb6AsDFaK6JS1LBmuAyLMUcje+FAvcsfKZvaQgOTg4OLjXZHB8w4kK+3LIabnuS953ccrDvMcKDUrcnKcLXI9BYEA8PtW7hFMr/clgrl3GuEFvvQDi4gXnUEr3VMG4MQzEFA9N1fbpsQG9cLCOEozPJBiXkuphAQrz9mHAB3322ztdjHd3LrSbS0EOMu+J83BpDWchIQ91zSNSw1DYfxmRZDo235BqnF7nris4JpJ80gO2HNEAC3nbpw2c03DJ8YBP9buGUAd6e9tDGIM47m43/8an4fcmdVr1UiUlLFEbkvVloBffYJPNFlcqiMJ3fx975t36LjTip0pDgzzHo66TpzPuG4jw+4TQDbpoU7bC/A/sVm13O7gtnCz5/iLuC+gMgYF7xhI+741FuxdrgCizHH5AT8imbcFDWh3cuFLYtNI9H+tABw9MQA7vrMOVg3wukL19UJa4ecwFzNk24ZFFhLs1Cu/NjrAPC8bNG1kufncy1Ori3QbReXYCaip01a+q89agxHjldxps2shdBtGlaXFikWquiLIwcHFxtGRw/9OPiXC3jzxbbpKgWCnJMZJFkQQHdqoplSexf45affigvfcDQsxnDL024MSAiKzhgEL9gSbilxb2mF83vP2ID1o1W8ct1Qx/F98w2fNh/87/sl15pgVGljEH92zisAAKuGSl3nvEy/ZlfcC14su+bSNgv86u+9BgDvsyZ6TI0NlAItCLE2BK20lttbT1yNz5x/EoDO9O699rj7xSCe2j3vuN9aZnAvuF4inT3+MkSpoGH1cAVEhPnldodv26shyqmBIvvDMDnDvvnJvZhfTs6oAGD9aBUaEXYcrGOzzXybbavLghD079ne2XJ78/MzHfeZBMP2/VqMYbvtC220TV/NUCdC0zAd+i2Txy1uts3fNPQ3jNaw0GzjPx91M6b96AsXi4gZEBFahoUbn9iD2eU2jhyvJaIrNPCWYWHbPu6PFgt22UkOcC03oDvzRFhSSbV3gdFaCcPVIkzGcM29O5zjThaVJwZhWczR4sW93fxkurEnImxcVUOjbXXs1LdnvhEYg5ATGZp2vOjxnfM44uRqItoAV0KqRR2MAc9Od4YduwSEvW+IsOwOLjVxYLGJh1+cTW1BiP27Xziw5MQARqpFJ1POWwfx4gyfI8Lt9wtbo0/67okIGyf4XJUVvT1zja54iniuH9s8qVrUM7Mg+gLCA42AB3fM4kF70R89Uevy7YsXttgwcLfNJOstA6/74s8dH2VaX7imdW4O0jDMrs3oBf2PXnm/c90ffHszfm4z6DQxCGEhPH9gyXneRtu0M1k8AkKjDr/5o1NzeMdld+JpO3CWhr6mcdfOn37fzeBqtM3uXHxdQ9OwnKSARtvEm798K/bYFt+vHTeRiK6u8R5P8402fmoLJ2E9dlsQ3eP+R9/Z7NxL2hgEwMefMTjzCeAuPpm+oGFYDD9+aAoAMDlYxv++aYuzHWeaTKpKQcdsve1YrQBPe7UshnKxO4tJTon9w6s3O4w1TRYRwNecaTH8/r/c6xxjjMFkne++WtLxwAszjoW5Ze8izvjizwFwBS9Ns0CROn313S84xwzT6toVUmTu/fhBzqTXDlfwzdufdYLVaZ5dxGzkrUz3LjRhMf/6k2enl3DK+hHMLrfw75unsGa4gr94+4mJ6SZB38XkgZgQ60ereNPxqzBSLXZZEOL39IK7ULbvX+oIYCWNQQiICXvakaM4ed0wmm2zazN6efK88RWcIQrh4D2flK7YUhUAGobla0HI3//OU9cBgCMcVkp/fKCEKz7K3T6Ndjd9jQjLLcMRYjtnlx3hAKQTzCVdw76FpqOVCQFRb5rQyHUfyvchBJGcvZaWQQKdMZ4Pn3UUADj7PnQEqYkXbO2x262Xixr+bbPb+SbN2JeLXOjKLdz3zgdrsgDwzlP4exfCgZ9Px040IkzN1LFnvoG19uZATcOyffHud9ZKuiMcAODmJ13G2jLSFSrK9Uq/d8YGaMSVMifuKHVPMC3mzLXhagE/uM+19tKMu2in8cJBNxtr71yjKwYh//2+1x3ptD95cIf/9q+9RF9AeCCY8GitiFpJR7Nt+aa8AZ3FPd4mYqktCIl+paihYbuY5CC4PGGOWTXgHBOLK9XGNfZH5F7/TaHBe7RS4W+tFnWU7XNrpV2/0tCXx32kyv3RTcP0zcWXfbbd415EUhR1wn5b2K8aLDkasqhBEPfmN+4A8IrVg13nk0JmVGuG+FgKH3tHDMKO/wj3V8vgqdkCaca+UtDRaJuYX26joBFGqkXsmWv4VFK772FMCrIKYZn26YncxIBNG8cAcNeql763GM2b/ZaGSct1lRODZVSKfM0HxSCccTeZZ9yTs1JhQYi5NzFQcmMQAeM+WNZRKugdn1eJvoDwQLyX4UoRlaKOhmF2BQDFpJG3IPRuJpImBgG4E9ah3za7ukV2Zna4/nFxeCWa1Ky053KQBaFLlozQgooFf40nPn3+mz83/04/C0LXqMP/2otxLxV0p3r9+NVDmFtuo9E2sdwyO5hSZ8qle1ws1JXUn8gfnRzifSqFBeG9B9GYD4Bdi2BJ55Mv6XJRR6PNBc1wtYi1wxXJgpDH3v2MvPe1mINp9yvQNMLO2WVoxC1nAPa662xdLwvKiYHuoHY6xcj9zHC14Kx5N3PRth6Jt2QR495sm5iX3KwrsSD2LzZRLerYMFbF3oVmV2fajhokTXM+l3aDqiToCwgPxIQZqRYdzUrekwBwJ4PMTHtlQegyfXuy8i0NOxu2CVSKbm2E64JK74ud6bIgrK72FXJPKkdAdNQqpNvRDnCfG7AtCM9iKejkpFYC6KpCHUzYEwfgLqRpW0CcsIZbA3vnG1jy7PHsLdpyj9v3toIFKwLARZ0cmjPCgih3xyBE/r63LUuaTJ5KUUPT4AxvpFrE6uGyrcl2ZibJ7p6qNB/F/fl1440D8e6PmxzEaI0z/oY994KEshCiHd+TZt5J38/XvOYoJvK9iU26xLjP1tsdtUhphJNwFe1fbGKkWsSa4Qr22pabX6sNcT/Cai8V0iskcdEXEB4IRjlcLaBsu3i8FcpiIs7LLiYPo0obg3AsiGoB5YKGZtviHT07LIhOvyzA6xfE4VQavP3ZDgvCpw5Bpq+RO8mLAb7quCBn3IuOz7/RNmF6WofwDKreu5jEc5+wlqd77p1vot7stNxkJiAzSEdxWFEMgn92sFxwnt/PxVSwLSgxBvsWOgVEukwe7laZW25juFLgjGq+6dMTyF9ACuUl7X424t2/ev1IqPVYjRAQ6WJf7t/DlaJtTZluF2NPDEJYECKLzqWdnJUK5Wqm3sZw1R73hUZXXymvBe2nlKlCX0B4IDQ5ock2DbMro8HPgljsAaMC3Nx3rwUR5OoQzMRina6fpHBcTMstDJULPFjXtnx73Mjz0s/FtJKFOmKb+YB/HYTuiUF0jXsqF5P7QKJwbM98o6uTquyOkI/7xSiSQnx0qOJaUAd9XEy6Rh1C0au0p2Ea5YLdZqbeclxM04s8aC+Pvbyznfz8QnlJ245aWK2vOmIYlYJsPbKEFkR6xQTga65c4AF7v9T2lmE57k1vI4NULibpXY1Ui1g7UsFsvY2lphEYpO4LiJwh3kWlqHeZm4JRioUi2h0MVwpdG8mndTGJCVgp6k6Quu5p2CYvVIe5MYlRrSBIvdDg/Ywc4egXg5C0pZKT4SO5mFbgC64UdIdBNtqmb0aHHIPwtn9OM+7yQjvarqPYN9/o2oxe1hJlDVrc3spiEK6LSTy/YJzeZn1LPu2p5fNJIejNLrdRKepYM1yGaTHsm292vtcgC8Ie87S9RoWrZt1IVXr3VlcWlWy19cqCkMHXnO64twApSE3h454qzVVSTCpFHavtZ9o114DffhCAHfcTVvsKLNa46AsID8SQa0TOdovCz+1t9z1bb4OIFzr1KgYhoBGhXBBB6u6GbQJisjAwxz2VpmBL7m9TKfLipWWfOgSZPoMsoCR/7Ap8wbpGzmbtDZHJIvcD0gktw12oXgsijWtPtiBGayVUijztlccg/JMDKj6WxUp6YInvICLHzXJgsdVR/wJ0jq18XCDNuxfjvdQ0oRNhtZ2R1jK7rTfnMyXZxbSyGIT7/UC1xO/Fb+7JbtbVQ27W3KpBzljTdtOV6VeKWmcWk4/S5TvuKWjLFoRGhDVi3D0pu14r7pCwIIjoPCLaQkTbiOgzPuePJqJb7C1EbyOiDdK5LxHR4/bP+6XjxxDRvUS0lYj+zd5vIlOIKa5r5LhvRGqbt5J6brmNwXIBpYKGRW+wNGUMQqwxQb9lWKi3zC4tUqAkuZi0Fbg6xGcZ49rMSLWI2Xrbt0um7iOgZJM7nalv34fGN2vXiC+Urlx86gxS90Iwe7fVrJUKWG6ZdgzCPzlAbq3iWBA9qIMguO90tt7qSLMV9ycwUu12Y6ZKcy26ey3w55eEok+zPqDTghCMe6X7FWhEzjPN1lvdldQBLibx90otCI0IpYKOpmk5XYTlLUcF/MY9zZz3bitaC3Ajd1kQL3UBQUQ6gK8DOB/AyQA+SEQney77KoCrGWOnAvgCgL+1P/tOAKcDOA3AmQA+RUTD9me+BOBSxtjxAGYAfDzN/fUCukbOCxBxga46iHobw5UiBsqFLl9w0h2mBBwBRZx+27Sw1AxOcy0XXP/vShiVnKlULuoYrRWdTA2/SmqXvhAQsgWRXkDpjquFP7vf7lpNKa3Ty5NWGoPQiJvubdNCvd29WY+ALCD8ChiTQjAiInfhzy63u3L/5XsYq3XrT2kYlaiWrrdNaNK8BzrnhezaHOiwIESblsSkO6Br5GQx7bcb8XUGqd13u2rQfXbR+G4lMSDx+ZJOaNuKiTd7SMBv3NNYbl4LouhRVIL+FnNvJQpJXKQVQa8HsI0xtp0x1gLwAwDv9lxzMoBb7L9vlc6fDOB2xpjBGFsC8AiA8+yd5M4B8CP7um+D7yyXKQSf49qEvXACLIjZ5RYGywVsGOvuQSMYd2r6tqZgMR6s9bZ8FnDN+5VZEHIma6WgYXyghINLrYAYRPeilVtAr9SCADjTbvrUYRTsfTsAf3dS0iaJgLtQNeLMviQsN096sV/9ifgcgMS72ckQQobg+pi55RgsICZsJim7PNJolSIwzBigU7dmKyALQFkQCwtkpXsmaxph1NbORfpukAUxXHG1+FG7sLI3FgSfX17rRbZiJwZ9BHOaNNeOce78v6NZn8eCFONQeqlaEADWA3hR+n/KPibjEQC/a//92wCG7O1GHwFwPhHViGgVgLeC73E9AWBW2mHO7zuVw3UxuYtNNNPympuNtoXBSgFHJWwQFwcyfaDTIgnK7FiJJitrh5WijtFayTbzu1sY+PmF25LbJ1Ultf1bLIaSY0FYXQtEBKnlamb5fFKIcRafLeoa6i0TLdPqYNCB427f/Uo0aMfF5GHQNY/Ak+9hYoC7VrwusqSoyAF3KQjqpSd/tzw3xf2uUD5AJ+5eHK4UnOriILeW7EocqfXOghCWa1fLbWlOjw/0JkCua53FrUWPReH83WVBdPYGU4m0AsLvzrzT45MAziaihwCcDWAnAIMxdhOA6wH8CsA1AO4GYMT8ThDRRUS0mYg2T09Pp7z9YDBn/wPXggiKQQB8oh451ksB0U0f6E519DsuDifdD1v+LMDdJ+MDJRyst3x3ChP/M+bSb1uWYwWkCVLLghmAo8V7q2l5kJoLiI0T3QIiDcQ4a5JwEhlqQePekf5q3/NKNGhZCMoM2rvbnp8FIc+TNJAb8umeedcZg/AXRI6ASJ3H1Pmd4wMlp3BRpiMXLcoWzJgtIFbqk9dt4diy06uD3DyiijtIYCaBPPdkt2WQwOFC1FZIVurTi4G0IzoFrvULbACwS76AMbaLMfY7jLHXAvgf9rE5+/cljLHTGGO/CS4YtgLYD2CUiApB32l/9nLG2CbG2KbJycmUtx8NXdKkrrGbcnljEAB3c/TSgpCD1PJCDQpSD/gUbKUJFspCpWLHIBptC/c+d7CjDbRMnzHmaLhtg3VVmieB7FoD+MI5uNTC9umljutEJTEAbPSxINLAa0GUChru2c476gZVUtd8xn0ly1Ue/yDFAOgUJCJ7Z6WuhkqxUwgGxiCk19rBHLX0806GGIOxgRLufpZ3tQ2y2joyz6rdDDst/VJBw+65Bh7cMdtpPXWMO6cnp5mmJS3PvQ4LIkhASNe1zJeugLgfwPF21lEJwAcAXCtfQESriEh8/2cBXGEf121XE4joVACnAriJcdX9VgDvtT9zIYCfpLy/FYMzaP6Snrf3vhUalPwihyoFHDmevA9+EOQgdUn3XxzFAA1TzKk0mmyngNAwLgXiROtzL30m0W+blmsup3Axyc8taIjNc26VNtEZknzPx6zqjWB2ajls2vukdtZB4171SXNdiQUhhp88wcpfPdu554ecOy92gSuu1IIodDImmfnulLYk7cimkv4m5/lXdBsOgx+rlZxiSHn3Pvk+ZfqjtgWx0hiEzHwf2znX8byyMJiwBbP8niiF1Q5InYI9lpvYE97vHoVC0DbV7wmRambZcYI/BXAjgKcA/Dtj7Aki+gIRvcu+7C0AthDRMwDWALjEPl4EcCcRPQngcgAfluIOnwbw50S0DTwm8a0097cSdASpdX/zXtbYBssFHDHaQwEhXFyehRr0dwej0tIvVHltiRhEEAR902Kui8m0ujKRkkA8t98Yy8Vw4zVXQKwd7s24i0Xq7DUuMXrZQuuMDXQL5pXUATh1EOhkRl6tXB4X4epYqWulw4Ig6qC/e7bh9xFf90sv6iCAziwheXvToOC5mKsrjkF43Dxyn6uSlHQixr0XQWInQULzjPuc/7gXNNfF5LXsVSB1NRdj7HrwWIJ87K+kv38ENyNJvqYBnsnk953bwTOkcoPwo+qeFwa4jECeqIPlopJ8ZN2jScq7TnX6qN1XeORYDQ/tmO0I5sWF18U07tMt00vfYsxhoIbFcOzkIJ7aPb+ihepUFAdoxWPSffUqzU+8Z93HVSLXXMjvQ/5bKAhpMqgEhHufKFwb9bMgelFBLKBrhLKkGC23/auH5bEXAeN1IysT2I6LSVIC5I2pOhtCdsdiyinmfQd97f9v79yj5aiqPPztvvfm3rwTSAh5mAchgSQkhuSahESSgIABIk8ZUeQ1CC4QdHRQBwUZQRBZjrNwRHk5Is4g4zCi6KARXYwi6hqDBgRZqIhixEccRXnII7l7/jhV3dWVfndVnZPc/a3Vq7urq/v8qvpUnbP3Pmef+nWqngURTyjtlL46FkQ9a7SnJOUJgS8VEIOwFeVSlGMAqT/svPVzmRUFRassiNRQy/84Z1XNNAAtlx89J01JgEP3n1J+Xa8ndeUJizli0RQWThtHu1Q1EL2lqov0Qycurtq3PDlviCoL4jNnreCBXz1VdcNpleRxA+WMlQB3nLe6/DrZcCWP/bZzVlWNjW+HdJA67pktmTGeQ/bbq7xff51G65KNC1kxZw9WRGtqd0K9gQVffMuaqvfJ85KMmXzzneurFntqh4Gki0mkKq/WNScvrfmdpJW4cNo4PvaGA1mfOFedUHYxJf7jd2+orJhWb0TV0hkT+KeTXt72aoK1yo/7A6vn7slxB1YGUSavuXiiXG+PcPc71vKLPzxHp1RZEIlBAJ88/RV1Ncau55cKWHbUGogUyWBpssfyrg37l18nK0t6LP7KfbqrpFXlRyGcBVPHVbuY6lgsY/p72bhkWkflSuIn+/t6qi7SwxZMqdq37GJSLbta+nt7mDSmn1el9m2ZVJA6vkmdsGw6B86cWN4t6X5I3qRWztmjYz9w/D/HX4/93u8/ZlGVC6/eaKGBvh6OXdrdiOxKqo3q7S+P1keopSFuVMeP7GPWnqPLHZh26a+yIKrr1z6Tx9T8TtpK7LTeJUmuKggwbfxAOe0HVFtWydelknDi8nKiho6JV+sDWDd/Mn8zWBmHU2vm/IRRfcyYOIoZXYxirASpqwPTcdLInTSWKrm6ihjmag1EioqLqfZSk5BqICLz+s7z13D/L7tfArDsixcpjw5JuxDSN6orjj+A/feuXaFaJdmD7e8tlScswc4jaeIbyI4hpa+nxEVH7t9177F83hNDTYGdhhCnLYivvO1g7v3pto4bB0haRE5D3ECkjzvtSrz6tUsyG8FWiUE0Po6khqUzJnDe+rmcvnp2V2VXWRAlaenG01MSbjtnFU/8sfPec63fhIqL6YUmPeSbThvMNFBbSoyQa3TNz5k0mre+ah4nZdAopQdINKOnJBy1eCo/fvIvnLt+btflN8MaiDok5yE0migWu5iWzJjAmk4oPwAAFBpJREFUkhnVvb1OiHuFpVJipbKUXzR9ozpl5ayuy+1JxSCSic8GehvfKN+8rvuKWhne657jc5+epV5lQZSEBVPHsWBq+y61JOUGLxIRu5hG9VVfHumGOdnD7JbkRLlGjEjdzJOWbaf09pTojW6OPSItNbY9JWHVPnuyqkuLOf2bUPmPn2/i2z9sYYfWar3yRcoZAdKdsvSIpXccPj+TMpMuppY0Rp6Ni45akEn5zcg+urqLk5yHUG8pyeQF1G3W1nr0iJS1NLMgsqAq1UYqhpCuvHmUXy4rMcwV4GV71Lcgug3OxpRdZtHNIY791bOc8qCSaqMxeZ37dt0Webg3kvMgwC15WyRJCyKdGTav/75tC6ILS7kTrIFIUTUPoY4FkSQ5Lj9LAW5CWHVO+ph6wdJuSM+DaEQe5ScbZqhvQUxIBM9b7XU1I774t6dGhaRnMeeZf7/VG25eGuL/vNVZ+Pk0EO45tiC6nXjXLi5IHa0/X1CnqJV7TJIi1qFOYg1EmqhOilS8wY2GsXa6tGiT4hGR8gWSLj+PYbVV8yCaJBrMo3xNpBgBd9PuLQl7J4KUUG3dZGVB9CViKvXKgs4nQ7VCq4dSzuSZ8Q06zu/TagORx40qvkkmOwFFUhLqxiDySq0dN/gtu5gKyOCaxGIQdYhTDx88bxLnNvCx5+ZiKgnLZ01k2cwJvCflb8zTvIfKjfHyYxeVZ5EnydXFFB3buvmTGdFbargITCc5p2oRH09ssd1w6nI+t3lrIaNEYsrHEj2ff8i+NS25ePJm1trifEzx6X7DypksajBcOo9Tk3QvHr14Kscu7X5kVLvlX3DoPB7b9ixHLNy76rM8rGaoTMCLXUdnrpndMLdb0S4mayDq0FNyF+FnzlrZcL+0G6JbkqOYRo3o5fPnrWnyjWyozubqLoZTD5pdc988Gojk/BOAIxdP5cjFUxt+J7uJcvHEP/f+iEV7c8SivRt8I3vK7UP0/sJX71dzv3j4b9YWRGw1xvXgyuMXN9o9F2sq2ehde8qyzH+/lfLnTBq909wTyK9TlLYgLn3Noob7F9lpAXMx7UTa1dGMvNwOBbsaXZnRoTRbyyLPYG07P51Vbyqv3mE71JsHkSY+91nfKOJOQdE91CRF3/x2Kr/BsefVQJQzRHuM/TTC/5URGOlgaeHl46/8+CbVLEidR6C04v1v/bezOkdFLN3YjNaD1PHQ52w1F7nGQD2ychl2XH6DY8+rjsQLEbX680X/Pf6vjMBIZxUtvPyUq6VIKg1EYwsiD6tJy4MDmu/bzboTtcgzptIqaRdTPdKpybOi3VFMeeDbgmjEiJwGB8S/12qQOs+BErXwf2UERjKbqpfy8Vd+XPf6m1gQ+eCOu5WjLq8kl9EpCqGBqLiYGh9U/PFeXeT7qkWR6Rvq4dO91YzYtTclNaquW3padDFl3TC1igWp69DsQrn17JXdrRBTh1YtiJtOG+wqKWAtWrUgwCVxW9jlDOYkmhhe3Ix/f9NKvvHI78tJ07qlHZfZzWe+IvOhzVBp65opmTJugA8cd8BO+bG6Jf7Pm3VMvvb2tTz626czLTumFYPwjvNW86fnXsyl/EYM9PVw1QmLWbPvpEx/N77PNLPcNr19LQ9ufarhPnnQcU0XkQ3ANUAPcJOqXpX6fBZukaDJwB9x6z5sjT67GjgaZ8HcDbxNVVVE/geYCsRJ4I9Q1d9TIOVUF02u1NVzs60oaZo1UFmnGUiW2WweBNB1crp6tHKrnjp+JG9c1X16kZh2gtTd5pyqh7QYpAYyPfaYVoPU86eMrZtIrltasV6SiRuL5uQVMzP/zXKK+SZracydPIa5dRIn5klHtrWI9ADXAkfi1nZ4vYik13j4MHCLqi4BLgM+GH13NbAGt5LcAcArcGtWx5wSLUe6tOjGAZILr/sNUvtyMYnkO2O4HsXOma0mhCB1t4vtdEslSO1Pg+8gtQ9qrUESEp1WhxXAz1T156r6InAbcGxqn4XAN6LX9yQ+V2AAGAH041aY+12HOjKnMpPZrwBfQeqB3p7CA2FQuUH6OO8hxCDK9c5Tx6TfgtReiK/z3a2BmA78KvF+a7QtyQPAidHr44GxIrKnqn4X12D8JnpsUtVHEt/7lIhsEZFLpMadSkTOEZHNIrJ527ZtHcpvgLYeLM2DSpC6+LJL0nyIa174bJjDsCCiF54q3kAAw1xDDlLnRXy+03nAQqHTK6PWP5k+wguBdSLyQ5wL6dfAdhHZF1gAzMA1KoeKyNroO6eo6mLg4Ohx6k6FqN6gqoOqOjh58uQO5TfHRy8a/A9z7WQ1uCwoB6k93CHDsCD8dkxCGMXka+SgT+LRSUO7WQOxFUgmw58BPJncQVWfVNUTVPVA4L3Rtj/jrInvqeozqvoM8BVgVfT5r6Pnp4Fb8bA+teeOXBkvE+VK/hqIMj5cTAFYEDG+OtFxoH44xgF8UtpNLYjvA/NEZI6IjABOBu5M7iAik0TKC1lehBvRBPAEzrLoFZE+nHXxSPR+UvTdPmAj8FCH+jrGc6zQa5C6JP7STvg87UE0EJ7rXQgWxHCkbEH4vvHUoaMrQ1W3A+cDm4BHgM+p6sMicpmIHBPtth54VER+AkwBroi23w48BvwIF6d4QFW/hAtYbxKRB4EtOJfUjR0dVReUTX1P10kyWV/R+HUx+XOxhODa8B2kDmEm9XAkbpCzXDo1SzqeB6GqdwF3pba9L/H6dlxjkP7eDuDNNbY/CyzvVE9W+PSFg/9cTL4T1/mK/fimnVQjeWAWhB9212Guuy2+Lb24fB89OZHWZlHnge/z7hv17GMaSK0HYRRDrzUQRif46Mj1lMTbMFfDL/FEueFqwfkizuZqDcQuwmuXzwBg2oRsk3K1yt+umQP4MfWnTxjJ7D1HF14uwDHR6mH77lV8OoGYtfPzGzbdjDiNwnE5pTBpxssmjqKvR5g+YWTznTNmQ8GLM6U5YHp2OcXaZdmsCQCZ59bKCvE9xb8bBgcHdfPmzZn+pqoypB7Xg/BYfjwW21fQdseQejvvQ0MapRrx14P2efw+y1dVVD1mUPZcvo/zLiL3q+pgs/0sm2sKEcFDKqIgyvc9mme4T9LyHSD2Vb6I+EttE0D5vv/3RpiLyTAMw6iJNRCGYRhGTayBMAzDMGpiDYRhGIZRE2sgDMMwjJpYA2EYhmHUZJeeByEi24BngT/41lKHSYSpLVRdEK4209UeoeqCcLUVqWuWqjadGbpLNxAAIrK5lQkfPghVW6i6IFxtpqs9QtUF4WoLUZe5mAzDMIyaWANhGIZh1GR3aCBu8C2gAaFqC1UXhKvNdLVHqLogXG3B6drlYxCGYRhGPuwOFoRhGIaRA7tEAyGBrmISqq7QCfW8ma7dh1DPWai66rFLNBDACN8C6lBOlx7aHy8ih4qI35VY6hNqvbN61gZWxzoi1DpWk1BPIgAicpSIfBW4RkRO9a0nRkQ2iMgm4MMicjyABhLMEZHVIvIwcAbgb3m2GojI0SLyZeByEVnjW0+M1bP2sDrWPqHWsWYEuWCQiPQC7wKOBy4B9gQ2ishTqvolT5oE6AOuBA4CPgTMAE4SkYdU9ac+dCURkR7gbOAKVb3Vt54kIrIcuBT4R2AccLqIzFPVm0WkpKpDHjRZPWtfn9Wx9jQFV8faIcgGQlW3i8jPgZNV9TERGQssw6N5FvXcXox6Af8QaVwKrAQe96UrxThAgLtEZATwOuC7wBOq+qKIiMce6GHAvap6l4iMBBYCF4jIHar6Zx/arJ51hNWxNgixjrVDMC4mETldRA5PbPo88LiI9Knq07he1CgPut4qIjeKyJsAVPXr0Z9+VKRxPnCliLwu2r8wH3FC21nRphKwD7AE+E/gNbie6PXxVzxoOzvadA+u5zRRVf8KvAT8Bde7Ksx1YvWsY11Wx1rXFWQd6wi3YLe/BzARuB34DfAg0BNtLyX2GQC+AOxXsLYzgO8BG4BvAu8B9o0+WwHMj14fBWwCZnvUdjEwErgKeAx4XbTfGGAbMOhR23uBvYB/Ab4M3At8Cng18AlgtNWz8OqZ1bHdp451+vBuQajqn4CvAQuA+4H31dhtAjCgqo+KyMtE5MSC5L0K+JCqfhX4e5xZeAqAqv6vqv4k2u/HuAtke0G6amkbAM7Dnb/R0QNVfQa4DVd5fWo7TVUviDRepqpnAs/j/tdn8xZk9SwTXVbHGhB4HesIrw1Ewky+RVWfAj4OnCAis1R1KArwgDNpx4rI3wF3Ak3T1HapKz4vPwQ2AqjqZlyPZWqN0RFn4EzG/8tTVxNt38b5XKfiTOoNIvIaEbkYWAM84lHbfcA8EXmlqj6hqndH+x2N64nmrcvqWTa6rI7V1xVkHeuWQhsIicZMx3+yRjaXqj4fPX8f+ApwRfQ+7iktx43o2Bc4WlWvy1jXIhEZiN9rZbTDfUBJRNZG7x/CmY/Tou+dJiIPAXOAc9X5PTOlTW1bgeWqegtwHfBKYCawUVW3etb2JO7GgoisFZFvAvMinXnrCqWerRGRuQldQdSzNnUVXcfa0VZkHUvrCqKOZU4RfizgQOAbwI2p7ULCPxdtm4nrQS0CpuCGhR0AHJyDriW4XtEdwPTE9lL0vAdwIXAtFX/iJ4B3Ra+XAqtzOmedant3et+AtMXnbSawqEBdvuvZMpzr4QVgWSj1rAtdRdSxbs9ZXnWsni6vdSyvR64WhDj+GbgF+LSqnp34rKSOIREZKSJjAFT1CdwF/iPgW7iVjx5S1XtzkHgxcLuqHq+qv4509Will/I0Ltg1AjdZqQ/nZ/1DpHWLqn4nB13daNsW/4DmN+672/P2hKo+XKAuL/VMRPpE5Hpcls6P4gLM6xO6vNSzDHTlVscyPGeZ1rEWdPm+l+VD3i0QcBPOLxe/n0t1VP/9uGFgS6L3rwd+CVwN9OWkqRTp+NfEtsNxAaTe6P0HcMP49seZrTfjegPXE/VYTFsY2lrUdbmHejYGF2weGb0/A7gx1pSo/0WfryB1haytRV2XFl3H8n7kcSJXEQ3Li96PAx7FRfTvi07gLThTbT5wK9GQvsT35xSgayzwU1yg6wu4HsEtwEXA7Bq6SsDYnCqfaSteV+71jCidfuKzs4Dr4s9wLrFbgblFnq+QdIWsLQNdudSxIh9ZnswJwH/jTL+LSYw7Bt4KbAHWAv249AEfBCYn9smr5W+k6z3AD4BjovdrgS8CByUrX24n37T50FVoPSPhm8YFJn8HTIw/83W+fOsKWVsGunKzsIp+ZBmDGI3rtV0QvY5HF6CqHwUOUdVvqeoLuB7eIPAclOMROzLU0pIu3ISa2biAF8Bm4Le4sdOxrjzzt5i24nUVWs/UMRSN3PtFtM+6+LOErkLPVwC6QtbWra686ljhdNVARMPv1onIOHVBwRuAz+EuyJUiMi3eV90kkpjlwK+AHdFnWQe6mumaHpX7IPBO4C0iMgl4I7CYaJx5HhXQtA0rXfEwVYnKjofexg2WDCddIWsLVZdv2m4gopFJU0XkHuB0XODmEyIySVWfV9XngK/jRhQcmvhev4isF5HNuOnvV2k0ZjgLOtWlqp8EPovLAHki8CZ1ow8yw7QNb12qqtFIl2dwbopV8fbdXVfI2kLVFRTt+KOojDeeD/xb9LoXl//k86l9344b0TKeSuR/NXBcO2XmrGtsYnteI1lMm+kaNRx1hawtVF2hPVqyIESkV0SuxGWTXAfsR8U9tB0XhD4o+izmRtzQsK8DvxCRaar6HVX9QitlFqDrbuBnsemoqi9lpcu0ma6UrseHk66QtYWqK1SaNhDRibofZ2b9DDee/CXgEBFZAWXz6jKcWR9zNC5p1hZgsao+maXwDHQ9kIcu02a6hrOukLWFqitoWjDFDgZOTbz/OHAubqLI/dG2ErA3LqgzO9p2LLA2L9MnVF2mzXQNZ10hawtVV8iPVk7qKNzchdhndwrwwej1FuCC6PUg8NnChAeqy7SZruGsK2RtoeoK+dHUxaSqz6nqC1oZ23s4lVwsZwILxC0S/lncJKVCVrsKVZdpM13DWVfI2kLVFTItr0ktbrFyxWUlvDPa/DRu9uoBwOMaJUjTqBkuglB1mTbTNZx1hawtVF0h0s48iCGgD5ctcUnU0l4CDKnqt+MT6oFQdZk20zWcdYWsLVRd4dGOPwo3KWQIl3P/LN/+sdB1mTbTNZx1hawtVF2hPSQ6WS0hIjOAU4GPqMupFASh6gLT1gmmqz1C1QXhagtVV2i01UAYhmEYw4dC16Q2DMMwdh2sgTAMwzBqYg2EYRiGURNrIAzDMIyaWANhGIZh1MQaCMNoAxHZISJbRORhEXlARN4hbgnKRt+ZLSJvKEqjYWSFNRCG0R5/VdWlqroIl8vnKODSJt+ZDVgDYexy2DwIw2gDEXlGVcck3u8DfB+YBMwCPoNb6B7gfFX9joh8D1gAPA58GvgocBWwHpdd9FpVvb6wgzCMFrEGwjDaIN1ARNv+BOyPS/g2pKrPi8g8XMroQRFZD1yoqhuj/c8B9lLVD4hIP3AfcJKqPl7owRhGE1rO5moYRl3ilNB9wMdEZCluGcv5dfY/Apck7rXR+/HAPJyFYRjBYA2EYXRB5GLaAfweF4v4HfByXHzv+Xpfwy1Os6kQkYbRIRakNowOEZHJwHXAx9T5ascDv1HVIVwiuJ5o16eBsYmvbgLOFZG+6Hfmi8hoDCMwzIIwjPYYKSJbcO6k7big9Eeizz4O/JeInATcAzwbbX8Q2C4iDwA3A9fgRjb9IFqxbBtwXFEHYBitYkFqwzAMoybmYjIMwzBqYg2EYRiGURNrIAzDMIyaWANhGIZh1MQaCMMwDKMm1kAYhmEYNbEGwjAMw6iJNRCGYRhGTf4fcAmnfXFV5NcAAAAASUVORK5CYII=\n"
            ]
          },
          "metadata": {}
        }
      ],
      "execution_count": 12,
      "metadata": {
        "collapsed": false,
        "outputHidden": false,
        "inputHidden": false
      }
    },
    {
      "cell_type": "code",
      "source": [
        "result = seasonal_decompose(df['Adj Close'], model='additive', freq=52)\n",
        "result.seasonal.plot()\n",
        "plt.show()"
      ],
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ],
            "image/png": [
              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\n"
            ]
          },
          "metadata": {}
        }
      ],
      "execution_count": 13,
      "metadata": {
        "collapsed": false,
        "outputHidden": false,
        "inputHidden": false
      }
    },
    {
      "cell_type": "code",
      "source": [
        "result.trend.plot()\n",
        "plt.show()"
      ],
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ],
            "image/png": [
              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\n"
            ]
          },
          "metadata": {}
        }
      ],
      "execution_count": 14,
      "metadata": {
        "collapsed": false,
        "outputHidden": false,
        "inputHidden": false
      }
    },
    {
      "cell_type": "code",
      "source": [
        "result.observed.plot()\n",
        "plt.show()"
      ],
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ],
            "image/png": [
              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\n"
            ]
          },
          "metadata": {}
        }
      ],
      "execution_count": 15,
      "metadata": {
        "collapsed": false,
        "outputHidden": false,
        "inputHidden": false
      }
    },
    {
      "cell_type": "code",
      "source": [
        "result.plot()\n",
        "plt.show()"
      ],
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 432x288 with 4 Axes>"
            ],
            "image/png": [
              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\n"
            ]
          },
          "metadata": {}
        }
      ],
      "execution_count": 16,
      "metadata": {
        "collapsed": false,
        "outputHidden": false,
        "inputHidden": false
      }
    },
    {
      "cell_type": "code",
      "source": [
        "# Plot larger\n",
        "fig = result.plot()\n",
        "fig.set_size_inches(15,8)\n",
        "plt.show()"
      ],
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 1080x576 with 4 Axes>"
            ],
            "image/png": [
              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\n"
            ]
          },
          "metadata": {}
        }
      ],
      "execution_count": 17,
      "metadata": {
        "collapsed": false,
        "outputHidden": false,
        "inputHidden": false
      }
    },
    {
      "cell_type": "code",
      "source": [
        "df['12 Month Rolling Mean'] = df['Adj Close'].rolling(12).mean()\n",
        "df['12 Month Rolling Std'] = df['Adj Close'].rolling(12).std()"
      ],
      "outputs": [],
      "execution_count": 18,
      "metadata": {
        "collapsed": false,
        "outputHidden": false,
        "inputHidden": false
      }
    },
    {
      "cell_type": "code",
      "source": [
        "# Time Series\n",
        "df[['Adj Close','12 Month Rolling Mean','12 Month Rolling Std']].plot(figsize=(16,8))\n",
        "plt.show()"
      ],
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 1152x576 with 1 Axes>"
            ],
            "image/png": [
              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\n"
            ]
          },
          "metadata": {}
        }
      ],
      "execution_count": 19,
      "metadata": {
        "collapsed": false,
        "outputHidden": false,
        "inputHidden": false
      }
    },
    {
      "cell_type": "code",
      "source": [
        "from statsmodels.tsa.stattools import adfuller"
      ],
      "outputs": [],
      "execution_count": 20,
      "metadata": {
        "collapsed": false,
        "outputHidden": false,
        "inputHidden": false
      }
    },
    {
      "cell_type": "code",
      "source": [
        "result1 = adfuller(df['Adj Close'])"
      ],
      "outputs": [],
      "execution_count": 21,
      "metadata": {
        "collapsed": false,
        "outputHidden": false,
        "inputHidden": false
      }
    },
    {
      "cell_type": "code",
      "source": [
        "result1"
      ],
      "outputs": [
        {
          "output_type": "execute_result",
          "execution_count": 22,
          "data": {
            "text/plain": [
              "(-0.11576808952113374,\n",
              " 0.9478451460794398,\n",
              " 1,\n",
              " 501,\n",
              " {'1%': -3.443470002903981,\n",
              "  '10%': -2.569851849873108,\n",
              "  '5%': -2.867326248740681},\n",
              " 1763.5194817256813)"
            ]
          },
          "metadata": {}
        }
      ],
      "execution_count": 22,
      "metadata": {
        "collapsed": false,
        "outputHidden": false,
        "inputHidden": false
      }
    },
    {
      "cell_type": "code",
      "source": [
        "def adf_check(time_series):\n",
        "    result = adfuller(time_series)\n",
        "    print(\"Augmented Dicky-Fuller Test\")\n",
        "    labels = ['ADF Test Statistic', 'p-value','# of lags','Num of Observations used']\n",
        "    \n",
        "    for value,label in zip(result,labels):\n",
        "        print(label+ \" : \"+str(value))\n",
        "        \n",
        "    if result[1] <= 0.05:\n",
        "        print(\"Strong evidence against null hypothesis\")\n",
        "        print(\"Reject null hypothesis\")\n",
        "        print(\"Data has no unit root and is stationary\")\n",
        "        \n",
        "    else:\n",
        "        print(\"Weak evidence against null hypothesis\")\n",
        "        print(\"Fail to reject null hypothesis\")\n",
        "        print(\"Data has a unit root and it is non-stationary\")"
      ],
      "outputs": [],
      "execution_count": 23,
      "metadata": {
        "collapsed": false,
        "outputHidden": false,
        "inputHidden": false
      }
    },
    {
      "cell_type": "code",
      "source": [
        "adf_check(df['Adj Close'])"
      ],
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "Augmented Dicky-Fuller Test\n",
            "ADF Test Statistic : -0.11576808952113374\n",
            "p-value : 0.9478451460794398\n",
            "# of lags : 1\n",
            "Num of Observations used : 501\n",
            "Weak evidence against null hypothesis\n",
            "Fail to reject null hypothesis\n",
            "Data has a unit root and it is non-stationary\n"
          ]
        }
      ],
      "execution_count": 24,
      "metadata": {
        "collapsed": false,
        "outputHidden": false,
        "inputHidden": false
      }
    },
    {
      "cell_type": "code",
      "source": [
        "df['First Difference'] = df['Adj Close'] - df['Adj Close'].shift(1)"
      ],
      "outputs": [],
      "execution_count": 25,
      "metadata": {
        "collapsed": false,
        "outputHidden": false,
        "inputHidden": false
      }
    },
    {
      "cell_type": "code",
      "source": [
        "df['First Difference'].plot()\n",
        "plt.show()"
      ],
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ],
            "image/png": [
              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CxiQSupIIv87GXb2Bz1pStpKomCXhBr0qcrrIVPp6qpKo9r1kYpCQLm8xRp6vgCWh7ushi9SVil6W46gfLsKpP300cFxPOhvqsrIJf1Ddmus27PVWMnAt70dXEmrgekd3Gr97+i1XOehKQv6urnWSlkQqWZ/hOpZKgohGAPgLgIuFELsNf7+QiBYT0eItW7ZU5Jqrt3a7pioZLYno7qYw/+dDr23C4T94CP9cvsn3eUtjhd1NdcqxrvT11BlilHNv7uzDtQ+9MaD4QqZO6YUmYqQjArPgpDIhGqicUbcv/dbfXsXFty7D4jXmUiJhk7GERYH4Xqgl4ZzEKtGUyOTygTU8YUpCDVz/123LcPldL+OVt3c7chW2JPJCuDGJesXNYqckiCgFW0H8QQhxh+kYIcSNQoiFQoiFHR0dFZdBvrdsXrgv3BS4lgXPUiGWhO5zfdVpGEve2uH7vKVBWhIVcjfVYJ3Etq5+/PLRVb6GW+k2nHUUc0PSiqQk7nv5HVx1/wps3FV6aY1S3U1bu/qx6PXNJV9HZ83Wbnzzb6/40kqrORaUeu6AJaEMgFHy9rOGyZW7ir7Id7d02ZbKjpAtPMPupa0pGVAS4ZZENHeTLHT4mydWA/BbKt5iOhmTCHc3yTib/EwqCTkxlc2gX3E3veVYEvUydmOlJMiOGP8awHIhxNX1kkMOfDkhkHDe3ssbduFn/3zDd5x0N+lWRtiAJldi6h1PtqlKu5uqaUl88c8v4Hv3LMeL63e5n6lKcdFrm/H82h2mr0Ym4/SYxoQVSeF19pvfR6RrRfxOOpvHN//2Ck6/5jGc+5vnyl7gdNEfnsdNT67Bis2d7hqGar63UmejenaT6vIw5f/rmJRvVEtCunHVd3Prc2vxx2fWFvz+iMakGy+QhMck7P+LuZtklt0vnNRaVQkVikk0pSy/NaaV/JHeCvkN3d3U2ZfFVkdZ1mutUKyUBIAjAZwD4AQiWub8O73WQrhBpZxnSVy7aCWufmCF74XLwJ0+UIQqCaemi3687AOVagRe3ZfqNardTqcJixt8/57luOGRaLnqYUgXUEPSijS4eUp7AO6miErigVc34aYn12Cz448vNzkgr/mzgeAM+75X3sGmChUeLFb+/qr7Xsdn//i8+7seuFZnyX0RJjUmJRq1LIdUSOo5vvKXl3DZnS/Z3w/5XltTCt3prK/9h5US8VJgCysJr66W/b+qhOS55eVUJdHSkDQqU/kd2Vbl9fUUWLXKb70S8GKlJIQQjwshSAixQAixv/PvnjrIAcCxJDTTUR1M5GxCr28jG5LeLuV6Ct3PW+kZgr7p0C3PrsWMS+92N42pBG6jVj5Tb6OzL1uBvZAVJRHheL3gWimoimXRa5vx4KubjMfpM9KwGWo5qINnOpvHp3+3BB/7VWXyN4q1tWsXrcTdL250fw8GrkuzJIy1nyKW5ZBB8rDimmFKpjFpQQi/Ysg5K5r170TObnL/bh/vtyTyvr+pVklzKuFTcq61mPcrg6AlYX/epbigOSYRI+SryOVFoPGonUY2FN0kD+uIMsCtd7xCneaZVdtKXmSnu5t+8uAKAMD2AlslloqpT6nupu50Fn2ZPP7rtmVudkapyIE7akwizP0Xxtaufry5pSvwnZ8vWolfaIuxJLoY5SpCd/1CyGmkYt+4M5gVF4UHX/XKVQClyxtIgVXcTaaVxDqmAT4bcY9rOakKe59hz0wqF/Ve+zN5zLv8Xlx5r79gnzzm4de34PRrHjPGUOyL+a/Z7VMS9v/ycqq11dygKQmZFONaEvbf3IxKQwqsJkLNGfZKYndfBidf7d9oRg5IauBaog7wMnCtdwTZWLZ09fsGeDnh0DtemJJ4a1s3PnLj0/jW38I3RHlm1bbAZupSacmZx1ZHOZQ66+1N53DcjxbhmVXbAn8zDW7qz939Waze2o07nt+A+18dWDkB2YEak1akoF2nlpJYjJ88sAIX/Hax71qA3SbCzqEnI5S7e6HxGsoppS9crqWJQn82h0wuj0wuj/NvtstV6DPVyOfSFIE6AEaKSRjcTXpp7TCk1RKWeRY2cTAtVJP7hMgMRokMOm/Y2YtXN+4OnZBplTc0JeHPctJjEur4oL8HV4Fo/clYM4stifrw4rpdeMOpDySR7yJvUhJKx+hyZnkBS8JpAKu2dOOMnz3mfi4Had1PKzuL3ghkmpy68ljnIzc+jc//yV/4y11MJ91mjjy96dKUxBubO7FmWw++e/fywN/kxkqqzKr0eeG51dZG3D1NJztASyJ0NqixsyeDHc6uYqq7aXdvNjQgrZ86bNOYUlGVj/qzjP3o5acLMffr9+Kkqx/B1xzfvUqpA02fvuLaKt/dVKzA3weuexLf+furbuA63N1k/n5Sq4sEAO+EZLzpSj7MOsppfVRVJu79OF9NJvzupkxOuOXKSQtc94e6m8IX4NWaYa8kuvqDfno1BVbPelAbrKzdJBvQl/78Ak788cO+jviW4mqRjUlviPpgLlm91V5pOXv8iOg3hPDaTX2GhlcILxvL8D2jJeG/oMzWemuA7ib5rBsSVqTUTVkmIWrgujeTc99FNqIloa+KLzcmoQ8agP+ZSmu1FEsCsJ/5GsNzj2r5fOqm5/Dgq5t8k6KERb4aRwMJXOfzwovZhThQlry1A79+fLUbuJbvSG+HYXciB2k1cB2WFq3v52Bq60II91zy/0LZTeqY0eQslJXlyuVfvLHAvp6XAutXHipsSdQJ06pRd2afDzZj1Wro0qpA3r5kPd7c0h2q8eWsM7jK0vlfawS9TidsKmGlpRDCt5iuV+nIvSWm2Erfrml25WZ7KE9Iv+9egyXxg3uW45EV0RZAZl13U6I0SyLiwN2XyaHXCWaqsvekc6HWiJ6mXMySeGHdTnz4+qfcfZDDUBWbcKwwIYTnbkqVpiQA//uWZ4+a8fbQa5tx/s2LfYNVgshnWZvKTejoVkA2RBmakH+Xz1y+X0lYm3A39FH+/o6h0gEQnFCY2nomJwK76XUblIR3fa+/NmnvzVUGUkk4SkkqFs8lHZSDA9d1wqwk7P+zeRHoVGpdJNl49cYa1ni9RUTm4/XGJjtYpgQ7M5NTZmoCWLfDG6CjdGq/XPb/a7f3BBooeVpCwSzn+h09yDnP8lePrw6sOA9DDihR3U2lxiSkEuvP5gPnD7NGAkqiyLXuWrYBz67ZjhseXVXwuJwyIVmzrRvzLr8X1z+yynU3NaVK76rdhsWZ5QSuLcvvb4/kblIGu5Wbu7Cz11OWxV6pTPvd3m33UX3tQ9i9JN0NfaJYErqSCN5TNp/3FI7zX5eaAltwnYSmJODfhkAqJdfdpAWuVXgxXZ2QqzpVZHfN5UVgEJCdRp3V6A0tTOOHBajVOi7PrNqG/7x1GV59e7dr6kf1savyyfP9XUlnjNKpVdSBUz0PEGzsQHinz+QE3t7Zix09aeTyIvrCNWXFdZRJlBeTiKgknAG/L5MzKAmzjHJmLyk26I4b0QgA+PPidQXvW33HDzjpt4vXbHezm/TBJgqqJeENQqWdQ7ck1PUE0RbTed8/6epH8NEbn3Z/L6b4ZYWCddttK0B18Qjh75ttjV5B66Qhu0ldZ6I+a71ml0lJZLLeZLGQJWFaJxHwAmhuJc/d5I/xmWpmsbupTpgsCXcxncmScDR/pxPLaGtMBtwsplnop3+3GLc6NeN1ZCN7bs0OfOTGp3Hn0g14/y+ecBtKKYvD1BnIrx9fjeseXon9po7yyR4VtVHqayzkWPHCup14zqmtU0jKtdt7XIWczka7H1Pg+sKbF+OelzYajs27g9bjb/jdWWu2duM2w7OXHbQvkw8oIZOFkMsL3PTkGt9nxRSeLLWytSuNRw1uNt1HDdgJDwDQ3pxylVKhFcFhkxK9yB1guzn+8dLGyFVc1TZjEfnKbUdyN2mD3ZvOvQHFUzpf32RXhpXWsGoZpXN55JRnP2dim/tz0pDdpFoSqgssp7ubDDP4dC7vZTc5z7q7P+sG1vWd6dQqPWHK3Q1Qa5ZE3v08WH2XA9d1YnOBmEQ2LwJxgre29+C/730Nu3vtBtvenApoeFMNpkdXbMUqJxCtv2v5/a2KVZPNC0VJlGJJ+I/N5AQue/c8AKVbEmona23wbz0ix6wfP7AC3/4/e7uPQv7ut7b1uAo57H6eWbUN+37zPuxwsrmyuTyI7HpB8sz3v7oJn/nD84Hvqq6I3z7l3/j+g9c/hUv+8mJgwJLPozeiJfG2Ya1CMUtCdU/J+1+6dodv7QJguzTkQCEHsXtffgebnMEtnbVTWj//p6V4Yd1O33fDRAhb6fvTB+3yMnKGXgi/u0mPSXjPKCx7KJ3NF93wR6dFC9Jv3NWHN7d0Yc1WT8Gks3mfYp0zQVESiaC7Se3nqtwBT0HG2zZUlVO3FrrTWbQ3J333IVdHJ5SYhJ5wEEiBzeXtn7X1E3osJ2rVgWow7JVEoZhEXgTdTd/5+6v4xcNv4vGV9qxwVEsqMFB0ab5TIYQvsyis8qMKweug5SgJANh3ykgAA4hJKKfSJ7KEoNuhUBN+a3t3USXx84ffRGdfFoudAojpnEDKsmAR+TqqLZvA5t197sDdachSk0jlq/rDAW+w6E3nAgOtyWUlA/BqafhiQfKe/py7AE0+/yv++gp+6Czqks/VdL3eTA53LbPXwGRyeby2sRN/e+FtPK5tcxseAzNbQzl3xlu88qk6oCY0JaG6sw77wT+NCQnf+furmPnVe4wD3PqQ1GhT+ewTf/wIvnz7i+5naS2OtMfIJvdnU+Bapd/XFzV3k1atALCfvb7BUTqbdzcLy+YEdnSn8YVblgHwF0HUd61037dygb5MLhi41mtmJaLF5arBsFYS+bzwzd4l8lWYAteSnU5lypHNKQgBXzlj3cxXg8mAPUPO5QUec9wipjGTyGsopbibTCl8TU4qa1RLYtFrm7GrJ+PrZHqjJYPbIawNj29rxMadfUWVRLMTnJVukGwuj1TC9oPn837XxdUPrMAh3/8njrjyIfRnczjqh4t85zINSju1aqLyefRlg5aEafCXSmLORC8luVj8ozudxdjWBuc69jk37OwtOQCezuWxbL1tQXRqWT73vxItEQDwu1C14sXYZugL6qTDIvKVCtfbk6m+1NvSEjK888v/al4kGmUwTOf8lkR7c8r92RSTAICONjs+pLZl/f3JtqzKcNpPHwtYEpmccJMJ8kJgpxKrUhWprobdWJ7yPPoyuUAKrP68UolopWmqwbBWErt6M8YB2Ms2yofORmRHbW9KIScEPnj9U+7f9FWb+sCdyeVx3cMrcc6vn8UjK7YYFRERDczdZIg7WBahIWn5ZoVCCGzr6sfOnrTv+lu7+nHuTc/hs3983tfJpCV0z0sbsXyjf4sPt6xxSDOeNLIJO3szrpJIhwyscl3Ghh22dZDNCyQTFiySqb3ec7xFiTG8vTM4OJneq6okcnnhKp2+dLCmj63YNQvReecT2rxZqz4QPbNqG373tOfu6k3nMLrFVhL9mTz6Mjls704H8uOLKolsHsvWSiWR8b2zW55bW/C7Kmoyht6033PtE77fUwnyPfOE5Z8l60pCd0mqmCzcQjKqMphYsanLF09Q3Tqm7CYAmDra3tmtkFXfb1ASXf1Zrw+6SiLvxhuyeb+Vm9S1rwG1ffZlPVejF7gOlkPhmEQdMMUjAP+2iMVq6ow0xCR0JaHnXmdzwl3lva2r36iIBuJu6s/mQov4NSX9JYt/88QaHPTdB7H/tx/AdUq1VtmZ39zS5bsv+d3P/OF5vPuax3xZLm6QLeRZjW5twM6etBu4DiuzIJ/bm1u68PNFK9GTziKVIMfd5Lck1HsxBWjVMuVyZrdDWaugfv/5tTvc0iUq+gAiM2HamrzBcFNnH75396t48k3bBfSzh97ANU6tLMC2JEY0JZGwCIte3+z67vVBs1gGWzqbx7J19j119mV9bWZbl5pWWtj/r7rt1IGqP5vDBi3mQqCAJaH62/XgqnHRpXus+f6e1kq+yDUrrc6gP7K5wfi9C25e7Hs/armQsP2jpzh7RP9zubcPiP7c+9ySNv7rne1kZQkIrNzciWdWb3ddSbm88PWVMMUGqJMC3ZLQVmJrz6va745hAAAgAElEQVQhYeHRFVvwq8cKp1JXg2GtJOTMdqRiqgJK7aYCHVduhDKyJRVoULu1NEl94FZN5YRFIZaEN5BETek88spFOOfXzxr/1tyQ8A2M6uzzfqXiqZyd9WVyvk7Wm84bB2PA7MdVGdWcwo6edFF30zYnYH3Xsrfxo/tex22L1yOVsGBZ9juRzyOVIN8s1hQ0vdjxDwOeya8uaFO/f9X9K3DDo8Gy5kvX7vQ9M/keVNfGf976An752Gp8/NfPoj+bw+I1O3wDa086h9aGBHJ5gWXrduJPz9rP3bUkXPdD4Xe8rTvtZgZ19fsr7G7r9iY7Ya5J2d5yyqxXPYep9Esmn/cpZovINwDqlkShvTXCFMjZSkosADd7TLqGwjbiOmDqKJ/8qosnzN00xbEkfnTf6+5nwbIc5rVPaimRk662t1p1LYmc8N27uphOR8YefJZEJhewJALupqR9hKlETrUZ3kqiyx5cxjsNUiLbx/Nrd+pfcdnW1Y+ERUYTW/d9679nc8JVQKmEFWJJkDubCKtdoxIWX5E0pRK+Tq3OPn27jeXsY3b0ZHyL3vqyOXzguifd39cri/RkBovJ3fSd987HqJYG7OzJFFUSunIFZIe3LQk50CQtyzcALDFsbvTO7j5flhrgn73rQXz9HQHAh294Cr9XXEfynY1oDL7z5lQCS9fuRL+ThSTpSefcACcAvORkNQWsyyK+BJkKm0qQ7W5S2oy0goQIX4OiKga3Aqkym91msKTkJeQAnLDIt82nHle59I6XcJUyAKtEqRgLAN9yMuXk+pKedA6TlKD0uBGN2GNkE6aOafE9MzVFOCXdTVq/GtMatEp05ayX2dfxu8IsENluaVUJqor0wOmjfd+XYmZ8MYm8sk7CkcNgSais2tKFlZs7zUJWmGGtJGQa66gWvyURJdVsa1c/RjQmA8E/IJhFs0v7PSPT3mB3PFMapW1JyMV0xeUpNsg0pzxLIp8X7qwd8GZei9ds96WSPr7ScwX0ZXJ47R2vUa5S8t0Bu3OZHptlEUa3NKCzL+vO+MNiEiYlYWc3ORliTsdJaub8dQ+bNzfa0tnve5e+GIumJMIyv2T9rEdXbEFXfw6pBAVSNAGgo70RT75pPy91VtnTn/UdL2fs+sxaD5T/6YLDjPIcOG10YK8OaR3s+bV/4N9/v8T4PXVVf95gSRSaYEilSOQPxMpnpmbwXLtopbE9F3JFmehQJm5XfWg/RZYELEtmu6mz9+KWhKmPhFkSUVamCyGQSljoz+V9g7oak5g5rhWfPnaWr8Q64O/T/UrgWk2NVdHjHCf8+BHXoqk2w1pJmApyAdHqtm/tSmNEY9K4gbq+J68+S7XLOHtXMQ2uBG/2FSUmUSwjpDGVQK9zPr0qayphYclb2/HB65/CVfd7M0G1XRabCfZn8sbnliBCa6M9SOrbi67b3uNmeAkh0NmXxWhNYacSdgqsgNdx9D3Fw1i7vcdYiA0IVsQNc9Os39GLzZ19+Pj/Pou/PL8eScsyLpDK5QWedpREXthWx8ZdvXh7Vx9aFcvDVRJyEZWSAqtKcPjsse7PMjtq1rhW7DGqGV392UCJht29dlHCx97wp8fq955T0rrVdlWo0rBUErm88GW1SUvigqNn+Y43tdcogesX13uW+9QxLe7PR75rHE6YN96WpSlptwfhH+DVfmhaTAcAJzrnUGf6wRTY4DqJMATsrXUzWeG7P1VhWURIWVbAde2LSWT97qbedC4ge0J58LVeLzHMlYT9v64koqTg5fICbU6D1dF9s3opB7VgmGpVqHSnc24N/Ci1m4rNfJpTllu1U5YglyQtchdWqdaCGqTsy+Sw16R2HL3nOOP5+7PBDCHAy6xS2d6dxldufxFH/7cXQ+nP5pHO5bH3Hu1+2RIEi5yYhLQkIuT3A/YCPvXZq+JFTQdev6MHPY51tas3g2SCjBVZ39rWg+fX7nBn1elcHof/4CEA/sybzW6Gl/+9F1pvMWmU7W4Z396IppSF/mw+sH/49iIFBOXpM7m8a0mos1mTu0kiA/W5vHBjKA1Jy1US+vs1KokI7iY1u6pjhN8FLAf21oYkLPLHVgA9cG3ObmpKJfDvx872JV0EazcVdjepCGFvsXrPSxtxx9INniyKEpILEPPCtuDJGJPI+9ZJXHDz4sC11DBHqYtiyyV2SoKITiOi14loJRFdWs1ryUFNH+ejppq1NiZ9Gj4MaUnIASSbz/uVRIhSakhYOGDaKGSyeezuy2DBN+9zs2h0CgUNAbuDyFnSy2/v8s2mkgnL6A6QsQoiO3CayeXR3pTCtf96QODYMHdTgsjnTx3dksL27jRuXewvkyFdTfP3GOmXIWE56yS8FNgIjxyAbUlIlyLg91FHVxK9vkEvlbACFVml9ZPNCxw6y7YAMkrpkdaQMt+H/eCfrhIr5C6cNNIOuFpEaEwmsKWzH+f99jnfMb96bHXB+5D329WX9QWxAWD5xt2+GJOOyZJQ4zK6zjZZZaW6m/SFftLdIq13faGrakmYdqYDbGXW1pREOpsPzRwMC1ybyAuBVILwzu4+/J+y8ZcauLbIkyebFz53nVdlWXE3CRFYLGmfx/tmqTtVlkuslAQRJQD8HMC7AewN4KNEtHe1rifbgfoC1mztNq7CNtGUsgoOWF84cU8A9uY9APCXi47A50/cE5mccOsdqcXDdE7fdyImtjchm8/j5Q27sLsv65ZUAPydoNj+1c2phLtCduPOXkxUgoGpBOFn/wxu1yk73uRRzXhnlz1YphKEA6eNDhy7aXefMXCd0CwJ1Y0gEUK48s9VyitI2aR7QZr0m3aHv5/rPnag+/Pa7X5LQnb81Vu7A2UxVNRicf3ZvLsgDLBnrLqSeN8Bk92fZQZNf84bFHX3lBzPtnT2u3ttZHMisPBKIlcTJyxCo7uAy3+MzJoKQ7bBXb0Z39aZ3f1ZvPuaxwKlTNQg74gmr/yElFF9BqR1goG6m1QsAm485yD87rxDAHgTltZGz92krpMwpsBqA31DwnKVm4y96YpELbNfDCHMrk91ApZQFiBm83nfeCETGvoywXUSOuozLmT1VYNYKQkAhwBYKYRYJYRIA7gFwHurdbG8wZK45C8vhhwdpDmVCC1tkLQIJ+5l+0DvecnevrMpZbkdSM6C0gUsiRP2moBkwvK5p9QGqHbGbQV8yva1PUuiL5P3dfKEZbk58urdyI43ZXQzNu7sQyabRyph9sn/xx+Xhgau1Y40dXRQSWRywl2cqGegJJ3AdV6IotbSsitORluTF9MIKAnnGR5/1cO+NEgdVYECwOot3s6FqYSFJs0y+NSRM92fpYLpU2IeubxwJwwAsMeo5sA1C8UEJjnHk2NJAMH6RsWQbpTdfVlf4DosKUJ9D/KZqgNqoU2QLjIEz0tVEgmLcMr8iTh6zw4AiiXR5LmbVEtCtejd2k05/x71qaSnJOSqft3qeeDVTbjszpciVR0WEAFXm3p9wG7/sh/p1qJ8h73KOomwCaPaL001xKpJ3JTEZACqH2K981lVkO9DHehNayPCrIWmVCK0Omc2LwIzzmljWgNWih6TUGVpSBBSFiGbz7udWTVl1Ub3prYFq0lWGazty+ZCq1Oqt5NwLYkWdPZnsaMng1TSCtSjAYDWxkS4u0k5fkJ7U+CYtFLBtSmV8C1WSyUtx71gb1gURkdbI0Y2p3xK9OUNu3z7a5v6n+n1HTprjO/31UphuWTCb0mcsWCSLzAt11D8z0OexZfJ5X2KZOa41sA1/7JkfWiqswxcJy1yS0EcP3c8po4JKptCzBzXis2dfV7gOi9CYyE+S8JJPMgpPnV1fwv9GZpSx0utG6YnhMj3OsKxJPTsJrXfpBRLQp2gpBLkti13V0lDo/jjM2sLWhIyLpfPB1NTgWDg2lUSmrUo202P4j7KC+/808cGJ1RA+CLgahE3JWEacQNvi4guJKLFRLR4y5Zou5yZMGU3mSZWpoYA2JaE3pjVnG51ID5zwSQ0JC1XSZx75AwA/uJhgGaqWvYAmct5+e/JEIWmBpxNjGpJYVdvGt39WfRlcmhKJjDRGbD1LRwl8rlMdlwovZkcGhJ+JfHUV0/AITPGoKOt0dixEpY/sGnaPCedzeN6Z4P6ppSFc4+Y4f4tZdmh0rwwz9okl50+D6TtnNafzeOO572AomlA0BdSTh/bgtPmT/J9prpiUgnLnQFOaG/Ejz+0n++e5CD05yXrvfvLCddNBAAHz7CVkDq4dvZn3dm+vmJXuiUsxZJIWISPHzYjcD9hO9ilEoQDpo3yVX7N5fOhsZCxipIw7aio7rlNoY4yj5ItCU3zyMmRHbi2Jw3ZkMmVWgVWVRINCctV4jIGFpY5WCgueb6TzZXXlJBE/SzobvLkbEpZGNWSwubOfjcwLQPyC6ePdteKAFpadYk7TJZL3JTEegBTld+nAHhbP0gIcaMQYqEQYmFHR8eALyZcJeF9ZhowTTNnwDa5dW+Tmt+tKgnZeaV/918OmALANnfVS6YUSyFh2UpBTVtUMyfUVFu9npLO0e8ah0zOTpHsy+TRmLJw52ePABC+rakcFKSfHbDlUc3pSSObMaIpia7+rDEF1tIC1zKwq7Jyc5e710JTKoEz99vDu55T4E+I4OxSRRYxlJ173sS2wDF5IXwBRiCoJO646AiMazOXggD8MYkDpo5GUyrhXhvwl+yQnLzXBN8zkDNFIYCvvnsefvTBBb42pp4PAMaNsOWZ3dHqKqSE0y50ZhisFADYc3ybb9AB7DTg92r1miRjR3jPQJ4zJ7zAdSFLwoRewqMY+ruW7X5EUxKWZffd0BXXSgqsmnFHRGh3XGevvL0b86+41y2PoxPm9vnGWXu7SlzAmwAdpCya8xX4sxBqSVhEmNjehI27+lxFe/uSdXjyzW3oy+bcPv+H8w/1WZmlWmXlEjcl8RyAPYloJhE1ADgbwN+qdTHZfvwpccHjGpLm2VlzKmHMbpL52KrfViqM771vH1xz9v7YZ7Kd6pnO+mMSKWWwsJyZcU7J7LnvlU1u51CrbhazJA6eOQbtTUk88Oom25JIJTBpZDNmdbT6Mn3UGYtsmFMUH3rK6GpKors/5z7Puz9/lNtp9MD1MXuOw03nHoz9nY2QAH+dJduF5507JQv8ofCOdnKmLp9Nuzb4J5yMmM/9aanv8xZtxbxF5lX0qjzyXcrBQB3Q2hr91332aydi3ykjfb7pvSbZ7/68o2bi08fOxocWTsURyrqIDxw0xXeOQ2eNxf9+ciG+eMpcdxIh70fnwwunBD6T13zXeLt6rVQ6P1+00k2zVpnQ3ogjZ9uKbPKoZsx30pLzec9qaPJZEsUp15JocLObbBevOnEC/AOz/DkvRMAikHtA3Lp4HboN6xEkYd6m4+aOd2UTTnYTEJxsqPfhWhI5/zqTMa0NmDiyCe/s7nU/f9CpK/X2zj5XUaUSlq/tl6pwyyVWSkIIkQXwHwDuA7AcwG1CCHM94QrgrZPwyRA4LsySaAyJSdz48YV47Tun+bYulDOvUS0NeO/+k0FOHRw1bx3QVo5aFhIWIZsXPhPz/ldsP7vqmywU+ATshnbCvPF46LVN6El7MYmUZfksCbUMtWyYk1QlYTCvRzQmne85iQAgz0qz/JYEEeG4ueN9M/2lPiVh+UssJCyYCvzpSPeHyToE7M6q65jmVCIwwFlEvvRONVsKgG+dhMmy8VcjJYxr9WbvDUkLY1sb0JRKYM2VZ+DyM73EvWPn2Bbxxw6d5n6uunxOmDfBt0Nfgsw1vw6bNRaPXXJ84PM5E0bgzAWTcMycDnz3ffsCQKCgn+SCo2e57WN0a8p9f6ol0ahZEtK6OnZOh9HlFaYkjplj9gQEU2D92U15gVBLQg7cX779xUCqsxzMi60rCksmUbdwVbObwoxcX0win4eqUqeMbsakkU14Z1efUdGq3gN/RebSFG65xEpJAIAQ4h4hxBwhxGwhxPeqeS1jTMLQeMI2oTfFJAC7wTalEkgmLLeBmALFmZzAote3+PKeU77MCMetkBO+gVzONjZrs0CTi+WS0+a6P5+09wTs6Mlg7fYeV4GlkuRTQOrsTPqim1KW66poMFS4bGtKors/66UUK48rQWRULKrrY9FrXlypKelXvEnLW0wXZV8NuRjv34+djWvO3t/93LKCZropQ4cs+ALRY/VFXZa3TsK0qE+9xvi2Rl/7aExagcwpyUcOnob//sACfOOs+e6A98glx2PZFSf7jpPvx7KCSg+w40emSc30sS1oaUji5k8dgsO0wLxExloSFrmDcsKyXOsxp+T5q1lRBHJddF8/Yy/jgBm2TmKSIZFB3p+KG5NoTLplWsItCWdBYzaPTxw+3XceuRiv2GZRYYFry/IUgoA3gdTTgNXj5XPt7Mv6LIkpo1swsb0ZW7vSgbatBuZTWq2y4e5uqinCmRmZSg2ohLubrEDtJr1tWQWUBGDHElRXUVLPsXZ8z6pci17fjFxeBDZ5UZXE0189Ec9ediI+c9y73M+OndPhzrKa3IHOCtyzbPjSkkgQYQ9n1W+YJdGbybnuKTWQaVFwxTXg93mr/tbmBn9acSppuTGJQpaE7DijWhqw5sozcNzc8Xjv/nZiHJEtx0rN/9ycSgT86bq8+qw4mSD32ZmsSPVZTtAUQkPSchfG6TQ3JPDhg6f6rj2iMYlRLf74iBy8ZLvQaW9K+YLKEnV9ii9FU7kFqbgTFrmDctIiX5xF3rJauI4IOGGu7WJtCpk46XtJS8aMMMd/dHeTbLdtjiVhB3gL124CgFPnT/Sdx7IIbU0p32JHE2GlLxKWZ0mogetClsT0sXZMZ822bp/FMHlUs5voskWrnZXJelmPqaTftRgWQ6wWw1pJ5EXQn7q7N4OpY5pxkrPGAQh3N5lSYPUFZfKvYecAgB99cEHgeMBu7AnLQjYvfGbz9u40lq3bEVhUdoCyyG3iyCaM12ZpbU0pd5CS1lFDwgqY5NKfL5WEZZGbCWVSEtKElyvL1UdiWepsy/tcn6FLGpP+BYopi9xnXGjVbljAdtkVJ2PZFacgQRQI7psWQ+qdvbnBf7/JhOXGWUxJbycq7Wai9vw/esg0fODA8jK61cKQciD7z5PmYN/JIzGrw34GjQbLV12kqA6o6gxYfqwqhYRF7ncXTBnpO34/Z1tcIsLlZ+6Nv3/uKEwd0+KrGuvKHTLoFuoXKlKxtaorrhXFo1uf7ueG0XukU7q+EGHeqAR5BR7HtzUqSsKsJRJEbirr6q3dmiXR7E4k9AlQXzbvyqBXPa61uyk8QjcMEBCBl9vZn8V5R8/0FeULS720886jrs4Ozu4uOHom5k1sxwcOmoKDZ4zBsnU78VNlwxo7cO3fRU3y4PLN2NzpWRJH7znOWAo5KIflkyeZoEDN/vamJLZ09rsmsEXkznjkjO6RLx/nzlhl9pNcPUzw8pZVd5OauTUuRFYi8nd4J3AN+Bc+tTYk0J3OoTFpYekVJwcC0BI5E5elRVRMCk9e+1vvmY85E9rQrJ1X5uCHLaRsaUjiiyfPwY8fWBFYE3LxSXOMMpbCWfvtgdsWr8d5R810V1knLOD/PneUqzT0lO1vvWe+z3rwKQnluFEtDcC2Hhw5e5yb9ZN0Zs4vfOMUpBLkW/EvRzyC/Z72mWwrDfkMG5X6TmHZQuo7+PDCKdjdm8W9r7wTcPdImUc47iZZC8n7u2X82fSO2puTWLu9NHeTvKZlEfaa1I6rPrQfTt57Ar7z91d996xDZPe1/aaMxM1PveVa5IDtGmzVin/KRJVRzSnfAlpVHHY31ZC8ML9cPVMhbLaz75SRoY1DIv9sCuZ97Yy93UyWGeNafeUdALnxvOWsjPUa9SEzxmDRa5uxeXe/23maU4lI1VGlv9YNXCesQIVXucI2q7ibZPBaXmP62FbXvy7N6ZXOymR1QFKzm1Q3wLg2syUhvyNJJSyMMigUdWV1mIIIO6ckmaBAjr98X584YgYOnz3W6G4CgM8ePxtnKam6KvLZhsUfymHciEb84wtHY+qYFnd2LmfLcpZvWRRaLwrQUjSV2//Fxw7EDecchPHtTb5NsQC7T7Q0JN2npQ5aYdaYOjEKW4+hrgmxiJBQ0ktVJo5sQmtDAqNbG+zAdV6v3RR+Tp32JnMmkooesnAz2ZzzffCgKc7iTc9KNsWo5Dv5yUf2RyaXx8sbPGu2Y0RjoI1IxXD7RUf4txMw7BJZK4a5knBiEtpAEVQS/g730UOm4XfnHYKWhuB+EmGpc2ExiUIklLRJ1W//rgkjsLUrjU27+1zXQEtDAg3JwgrLlk8Go6WSMAeiAa/6rGVBsSSCTWbqmGZYBLcekrr6mohc/7KqbNXMncO1tRM+d1OCMMOw8lTKGKF6AgCzkrAzVfyf6YOKqiTGtja4beHCY2bjiNnmiriybIfubqo07qZAhoHw9+cfijMWTAp8DngDl14RdY9Rza4PX/r79ed2wTGzcNzcDnz0kKlur9GvTob3HRYIVmf9dl+U9+Y//vR9JuHJS0909nCx3U2dSr2yMOshYRH+dMFh+PUnFrqfhaWrqujyynsKLvLzlMfTl52IRV86zni+WR0j3HLn6jnbGpOBEivTxrRg5rjW0D1nolTUrSTD290kLQmtlY9sTvkGD93HO31si1tTJiyrQSJdJHJPhaIyKT/bloTjj1caBgHo6s+gL5PH2BGN2NGTQXNDMpIlIRubLLVg2kNYzrTcwLVFbizDtE6iMZnAzHGt7vaaIxqT7n0Q2eb9p4+Z5bOURrU0OCnAApefuTeWvLUdL6y3lYzfv2xhxthgvEFfB1EMt5MrHU6mF6voSkId6K768H6+FfUqy6442T2XzBwzlSCpJMfPHY8bH11lVFYHTBuNsa0bDN+yWXPlGQCA3zyxGgBw52eO8P1dBrH3nTwy8PlN59pF9+Sj0vuAHEiLZQ0S+ScpqqvRlAAy0qm2S0RYvbXbt5jUb0n4XWvq3hxANEsicH0KXgdQLQz72egLFlVM25oSESaObPJt4uXuna2kO/v2QlEsCTv5pvjksByGtZLI50VgJgkYLAlt8FV9vvrMQm9c8uWGZbUUIkGekuhTgrYWkesikjPqqO4mKY9M85TBThW54CjjxEEsIszfox0n7TUeByiL4FTmTWrHm1u6YZFWIRR2R/jq6Xv5780iPP6VEzCqxc7G2XuPdpyj3LcklSRjQbx2w8rmQkiFN7G9yV0fYFYS/u+pgc/j5nSEdkg1C2lWxwi0NSbdxWvV4vDZY93BfqDIQVlvOwumjMKdnzkCC6aY37eK/kjef+BkXPfwmxjZnHKftSldV11oBsi2Yv9sqijsyRzc2CvMkjC6m5qLt51gTMLv0nNlJv/fCxG2D8qMsa0+JdGgpBwDQUtCdTflBWBwBlSUYe1uEghrRJqS0CwJ9XfZNgtUjADgbRxTDPU0qrtJjRuoIn/qyJmY2N6Ecw6fHk1JCL+SMBWbk/7+jNJIWxuT+NUnDjaW+gaAvZz029aGpN2RIpTRnNDeZEzX1PcrTljBLUOljFH7h0xEUAOHjcngYrpCs7KoM7aDpo/GS9861VeiJa7IW9K3hAVsaySsyjGAUHfTl0+Zixe/eYpvMDa5m9SFZlIWU8zD9D0AOHCap8B8VWANq69V9EmgWhpel3efye3462ePdCsE6JPCRIjyMJFQnvEfzj/U/fkgbR9s2Y///Vi7RtSIpqQ/BTajrmuqvutpeFsSIqIloQ1kqiUhG2wyYRXM4zc1xGIkQtI/1UF0n8kj8fRlJwKwN5QphkwblKUnjErCkVVdJ1GMeRPtRWyt2n0OxBRWrXI5eO0xqtm3zsFUIykKE0c2A7BXeE8Z3Yzl73jPLGw8vPfio/Hc6u0Dul7ckbdscoUU/a7nb/J9bll2jSRfdeVQd5O/L4W5m1TkOoET5o13K86qA7A/JhH8vj4JHNWacrfWlUhxLzl1HvabOgo3nHMQ3tjcFViAqbqbiiGV1/w92nHkuzwXoT7xWr/Dtr4uPGY2LjxmNgB9f3ZvnKmBjhjeSsKNSWjoSkJPgTWlxDY4SkJv2zeccxBeWr9rYIMleStfZUxCLw+tylKoSqrEczfZjd3k75dFCL0V1BGUxKQ233mjBpRN6GU5AE9JSNO7LYJf2cQo5d3O7hjhW8gY5jKYN7HdVYJDDdkuTQkMkc8R8rn6PE0psGr7ds/j/FqoVLecPattQJ3IFHU3aW1ndEuDrzquen35/bamlHGzLTejLJK7ybymQp+Ebe0KptXLfkvkr91kP4vSk2JKYVi7m/JCBGYADUm7gJua8aSnwJqyNsI62anzJ+JLp841/q0Y9mI6Lyaxz+R2PHbJCaELh6J0dOlukvWJTKUpWp0MEsBsrpuYPKoZbY1JX90jILo7SMWvJMg5vyxrbssvXRmlKiP1fs/RSjZE6ehDDdeSiOCqDPtu2HMrFri2KLiwT/a7Qu/VtA+ML60X5s8l+iRQ308b8JRaseYvH1sUQ0wqRP2c8hyjWsInPvKeWxuSvvhksRpUlWDYKwm7YXqY0uN0JaHO2GVATnaysOX8UfnKafPcnxNK+mh/Ju/ORNQ+qc7EosQkZOMvtLPYCGXv7iiuJlsmwsEzx2CKYzqX8xhMmSr6TH6gloTMPDppr/H2ZEC5vaGqIwq1STcmEXEyUOgcOuopTSuuR7U0+BQJkXKuAu3HNDELW/sRJXC97xQvg+ujh0xDe1PSlbeYB6CkmIRlPlaV8Tvv2we/+vhC6OSF5wFQF5XWQkmwu4n8L82sJPSYhPe7fElhGxOVyrv39XLbfSmw2TxGtQRnIr6d7CK4m87abw/c9OQaX0lruZq0IWEhncujpcEbPAspE52f/+uBgQFjIAOvvuIaAP7tsOlIJgiL1+zAnUs3uNlNpZ5eV6Tq94eaJRHlbmTbL0tJhHzuK8uhDWbfOGtvnAsXkN0AABxlSURBVDhvgrv3tn0ewgcPmoLbl6wP7A6o4lkS5hpUYTJIdHeTTGs+dOYYNKcSyAvgz4vXoyFhYcY4c6KGK7NUEgWPsvHWVJhlzOcFzjlsuv41AN7zsxeO9gc+rybD3JIIanWTkigUk5CztKhumVJQq3H2ZXLGmYha6iKKJXH5mXtj2RUn+wb/MxfYK4dlyY4RirtpdAETWKe5IeEu0iuUwlgMXwqs4vb62KHTXRmj5LqbkOs8jPtxDy0dEYmwtQ6lfdf890LupnOPnIlpY1t88S4iu9T5mivPcFfxmxAGS4I0i0QSxd2UsCwsu+Jk/PZThyBhAV39Wdy5dAM+feysoqnr8vxRWntYcoB7jgjWk57lF1YTq5IMayUhDDGJKO4m9fdcFZWE5ZTlAGxLQi0BIEn43E3RTF69suhVH9oP//cfR7mlMmTNfgCBY6MiF2GNMizWK4Z6f7ri8wKJAzOCCynSoWZJREGuAo5aaE9FOmrDti+VVXiB8EC0OiGI2oXU9QNGuXznNLmb/H08lbD7hFrBNmGRr4JyGFEGeImc8OmTf3WTpDD09U2SbITy+eUyrJWEHbg2WxLqx4UsCT2IVknFnrSUmEQ255qraqcs1ZIw0ZC0sO+Uke61ZBE1oDRLQuWb75mPOz9zBKaFbOZeCPK5m/zvRz7ngcYkGrTaQGEz0KGA3AEvrEIuAFz5Lwvw2CXHBwafkgh5bmcsmIQ1V54RWAym4o8lRHsBanXUv1x0OD5/4p6h4pgUSWPS8i+IVQPgjgxNSSuSq7WUiYU3RvifhbvTXYHveoHrhPY5xySqiiwVXixwLRe1yVxvn5KQs5oqjDBy+1LAzo2W/vmwmMRAlYR+rhZlT4fRA7QkGpMJX+nygRJmSYwo05KQHdUXkxhi/qaPHDwVC6aMcjdiMtGQtEIXSBaFfP8VPCyswJ8vcB3xsrLPJS3CQdPH4KDp/viFz9I29EsiQntzyk01Na3WjhLfA9S+WHywdvfe1ldzR7AkJAFLYjjFJIjoR0T0GhG9SER3ElHxegBlIgwxCVNNIHurUWU9gvKznCFVY4BRV1wDXiPzZTcVWV1a6vWAyribKoWuJKSMcr1DqeW3ZedXa0tJhpq7iYgKKoiyz69cp7Ac4aXCfW024uN3N14Kca+q7zEsNVXNcPLtP+GuG4k2NJbS57wAdcjnEcZ7ff/1sOdaSWKjJAA8AGAfIcQCACsAfLXaFxRCBBqRyZIg+GcWqv/2mDkdaG9K4vyjZlZcPrV2E+Bl+kh3k0WVVU5SKTUmLXe2Uyh3uxboA4FF9r+WBnuf6IuOm13S+QrHJAYk4rCnqCVB5l30gOIL30x4u/OZ32UxdxPgT3xIGlJpoyqJUiYWsv+G1YWKkj6vu8CGlSUhhLhfCCHXxj8NYEo1r7d5dx/uWLoBO7szvtmkVBJ7T/JmYET+HcdUhdHR1ogXv3kq5k+2jy8nq0fHsvxKQmb6yI8GUkqh4PWInPRXQqdT4mOgMYlKkdLu8eg9O/CxQ6cPuPKl526yf1fjO9WupjnUkI+rWDMkRLMkoj59+e7CLAn1RGGDuDoZNLmboloI8rBIgesQt1IygiXxzbP2xtjWBt/Yc8ycjgG7g0shNkpC41MA/lHNC/zqcbtEsl6zRTaef1G2mSQQrv7w/jhmjl0e3OSvdFeKVlixG/fudetFVXZQS1jkrpiWbrS6u5u0PTKOmdOB77xvnwGfT96fvjIcYEtioIRlN0msQpbEABIH1H2+i8kTNtgvUBbQqf3IrcUWsTGUkrAij9WD+GEBbZVPHjkTSy4/2efF+MZZe1dlYyudmgauiehBABMNf/qaEOKvzjFfA5AF8IcC57kQwIUAMG3atAHJEraZuJfdRJgyuhnrd/S6g4dsS6aFc9WahKrupIRb+0X+XnkloQfGajFTKUSlraUjZo/Fl0+di48d6rSbIRyTqBXFHhuRV5ngy6fO9e1Roe6zEt3dZP8fVkqkWOAaAL54ylw8smILXly/S4vryf8jWhIl9MFkiEKR9x3Fc2QqLlptaqokhBAnFfo7EX0CwJkAThQF1KoQ4kYANwLAwoULBzR3V8vtFstucs1qJ0ZgapwT2myNfvYhA1NaYZhqM8mZkqkh7zGyCcfO7RjwtXQlUe+YRDmF50xYFuGzx5vz31lJlEYxC0IitxsF7FXNC2d42UizOkbgvfvvgb8ue9vn4i1ELl/MklCuHWEQN8VForubnIE/SnZTSEyilMme6sWoleUbmxRYIjoNwFcAHCuE6Kn29XpD9ok1b23oxAIsCi2/MbIlVfYGMCamj21Fa0MC3emcW7PFs2yCreTJr5444GtdcMws5LTFOaMN+0vXknLTeouhPkHWEaURdbU2wavcajr2mrMPwOdP3BOzO6Jt0iSKZDdFjS25VY6V4+WAHdWVGxaTeOLSE3zVWoHw2EMpTVx1N0VV0uUSp5jEtQDaADxARMuI6PpqXkx/gZLClkT0/OlK0dHWiJ999AAAwRTYSqfdHj93PE7ae4Lvs3oHrisdd9EZyimwtaJ4dpM3MIY12agKAlAX05lPVk638ALX0fp5WNXayaOaMUu7p7CgeNRrAUCDUkeuVs01NpaEEKL4GvgK0mOISbz/gMnGVZbyXSQsqomSOP+ombj1uXXu7yfuNQF3fuYId++HsE3Zq4G6FWk9aKrh9TlwXRrFajd5x5GyH0L5D7l4CmxESwLeHg0S190UVcwSbkcqtUDtqBKeiWpJ1GrxZ2yURK1R3U3yYR8zx7+hvG5OE4W7myrJ18/cG18/c2/fZ+rqZSlXNepF6dQ7LXQgO/oNFLYkSqNY7SaJRcqi0wo8YqkkQtt/GdeQA3mpCRNRspvkMbp1XsqlhnVMotaoWwB+7fS90JhM4HSlTDeg+izt/+dNaEPWtKN7jZGDWYUTf2JJtZWUf51EVS81ZCnFkqiEIpbuprB4VTmXsEJcQmHIo6IErnf12vus62nlAw9csyVRVY6cPRbLN+4GAIwd0Ygf/Mu+ocfKd/E5rZBYvXDdXzyqlY18hKkEsSVRImqsrhAWQdnEp/zrFrMkol5ClrjwBa6dn6OW4C5lErO7z1YSlXI3DbuYRK0596iZ7oK6YtQqiyAq1Qpcq3z3ffsYF5wNVh675Hi3k6rIZ9nelArU6meiUjR07abAVqIvyXOFpUdHHbh/9tEDcNtz6zBfqW81s8OO+x0wrcTScRF0ygcPmoJl63biC9pkky2JmFLSLDxeOkIJrlVPsH8L2SFrsFKs0uml756Hg6aXX7V2OFKsGVoEpN1CmOVfz3UDl2lJTGhvCngHDpw2Gg9/6Th3b5VieO6m4rQ1pXDN2QcEPi9FSai7ZNZqWBq+SiLCi3ED11WWZaDUInBdL771nvnutpLVRM5sJ7Q3BVIWmWhESYHN5SoZkyh8rnIvUWj/jUpfCyjNI9BYB0tiGIQ+zZSyp2+9M3x0ZOOIm1yV5BNHzMAp800VXCqLfITVr6U59KCI7ZDg1W6qxLzmv06ZC8DeGMhEPWJLUSq4hjHgFFh2N1WXRIREaD27KS5EDRgyTDUh7f8w1BTYStjl5x01E+dVoTT/QKjEJGOgMQmq0RSfLYkIxC1w7VkSdRZkCPDufey051kluBgYP1FSYPMVtCTKlaei16pA9edSLAIOXNeQUh5w3AZjL1YSM8EGIR89ZGroSnumMNFXXKOi6ySKQSD8+d8Px8ZdfVW/ViUoZcKqBq55MV2VifJi4hq4HsqxiFpDRKwgBkjUVuiv3VSLKgHAwTPGFD+wQtcCynM3lRK4bhjmBf5qSkmZQTEbk11fcMzkYoYnxVwtqmKoRZutR7coJ3BdCvVYTDdslUQps/G4uXXcmESd5WCGN1H7kHpUTZTEEJ49JS3y7W9TC4atkiiFuGUREZsSzCBCHcxqE5MYuqhFRms1LrGSiEDcZiayccRLKma4UtTTojTU2lgS1b+Gdy0nu6l2l3RdTmxJxIiY6QivRHPM5GKGF1FLUqiDmZqdUy1qOamr5JVmdURLw5YbD3GBvxgRu7GYLQkmBkQdpNTD6r2JVdUo05RY9KXjMCbiVsGNSQtEtVOGrCQiELcZ+3Aoy8EMHopl9vgtiaHlvJApqeXuoDizhMWcjUmrphPE2L0xIvoSEQkiGlf86NoQt8E4ajkEhqku0fzxsvs0payabblZK07aawIuPmlPXKHtJFlNGpJWTetTxcqSIKKpAE4GsLbesqjErVnLcssx013MMKPU9tfSEKvhpiIkLMLFJ82p6TUba6wk4mZJ/ATAJYhZUc74WRLk+59h6knUxXRDNh5RYxqcmEStiI2SIKL3ANgghHih3rLoxG0oJvY3MTGglLIcgO1uYsqnMZkYuu4mInoQgGmTgK8BuAzAKRHPcyGACwFg2rRpA5bnzAWTMGdCW4TrDfgSVcGt419nORgmCq4lwTWyKoIdk6jd9WqqJIQQJ5k+J6J9AcwE8IIzAE4B8DwRHSKEeMdwnhsB3AgACxcuHLBr6tp/PTDScXFz67iL6eIlFjNsKdwFZTtld1NlaEgMw8C1EOIlAOPl70S0BsBCIcTWugmlELfBmGMSTBxwK6AWmaZJy7fcNFHGpjFl1dSNwE7CCMRNSbAlwcSBqJMUeRRbEpVhWFoSOkKIGfWWQSVuM/aom70wTC0oXpbD/r+FYxIVYURTsqaLEmOpJOJG/Abj2AnEDENKdTdx4LoyfPqY2ThzwaSaXY+VRATipiS8KrAxE4wZVkTtF7K9ckyiMkwc2YSJI5tqdj2OSRQgrgFiNwU2XmIxwxRRLLsJvJhuMMNKogCy8cet3Ezc5GGGJ1EnTznHH8VKYnDCSiICcZuxe4HrmAnGMAb6MjkAHJMYrLCSiES8BmPPDcYw9adY4Lo/mwfASmKwwkoiAnGdsMdVLmaYILObihzmWhLsbhqUsJIoQFxn7DJWEje5mOFF1PbXl3EsCVYSgxJWEhGIm+9fmvdxk4sZnhTbma7fsSSaquxuuui42Zg8qrmq1xiOsJIoQFyzm1wlUV8xmGHOyXtPAADsPam94HF92dq4m75y2jw8cekJVb3GcIQX00Ugbusk5LyNDQmmnrx3/8k4df7EoovkMjlOgR3MsCURgWKLhWqNZ96zlmDqSymrqDm7aXDCSqIAcbMgJGxJMIMRtiQGJ6wkBiEck2AGI2xJDE5YSRQgbm4mDycFlrUEM4hgS2JwwkoiAnFzOxVb4cowcYSrwA5OWElEIG4WhRe2jpfyYphCJOKWS85EIlZKgog+R0SvE9ErRPTfdZcnpoOwt5iuvnIwDDP0ic06CSI6HsB7ASwQQvQT0fh6yxRXBMckGIapEXGyJC4CcKUQoh8AhBCb6yxPbPGym1hLMAxTXWJjSQCYA+BoIvoegD4AXxJCPFdPgeIWi5C4UrGOYAYBT156Arr6s/UWgxkgNVUSRPQggImGP33NkWU0gMMAHAzgNiKaJQzVw4joQgAXAsC0adOqJ3BMkY+EdQQzGNiDi+4NamqqJIQQJ4X9jYguAnCHoxSeJaI8gHEAthjOcyOAGwFg4cKFVZvux92dw1VgGYapNnGKSdwF4AQAIKI5ABoAbK2rRDGHVQTDMNUmTkrifwHMIqKXAdwC4BMmV1MtOfuQqQCAMa0N9RQjwP5TRwEA3n/A5DpLwjDMUIfqPA6XzcKFC8XixYurcm4hBPKCFwExDDP0IKIlQoiFxY6LU3ZT7CAiJFg/MAwzjImTu4lhGIaJGawkGIZhmFBYSTAMwzChsJJgGIZhQmElwTAMw4TCSoJhGIYJZdCvkyCiTgCv11uOEMYhnqvG4yoXEF/ZWK7SiatscZULqK1s04UQHcUOGgrrJF6PsiCkHhDR4jjKFle5gPjKxnKVTlxli6tcQDxlY3cTwzAMEworCYZhGCaUoaAkbqy3AAWIq2xxlQuIr2wsV+nEVba4ygXEULZBH7hmGIZhqsdQsCQYhmGYKjEolATFdAu2uMoVd+L63FiuoUNcn1lc5SrEoFASsHepiyNuCnHcXj4RnUBEpv3E40Bc2x23sxLgNjYg4trGQonrgwQAENHpRHQvgGuI6Jx6yyMhotOI6D4AVxHR+wGg3rvoSYjoCCJ6BcAnAYyoszg+iOgMIvo7gO8Q0ZH1lkfC7aw0uI2VTlzbWBRiuZiOiJIALgHwfgCXAxgL4Ewi2imE+L86yUQAUgC+D+BwAD8EMAXAh4joZSHEG/WQS4WIEgAuAPA9IcQf6y2PChEdBOAbAL4JoB3AJ4hoTyHETURkCSHydZCJ21np8nEbK02m2LWxUomlkhBCZIloFYCzhRBvElEbgANRR1PNmcGlndnApY6M+wM4FMDqesml0Q6AANxDRA0APgLgKQBrhRBpIqI6zkRPAvCYEOIeImoGsDeAzxHRnUKIXfWQjdvZgOA2VgJxbGOlEht3ExF9gohOVj66A8BqIkoJITphz6Za6iDX54nol0R0PgAIIR50XvzpjoxzAHyfiD7iHF8zn7Ei23nORxaAWQAWAPgzgLNgz0hvkF+pg2wXOB8tgj2DGi2E6AWQAbAb9iyrZm4UbmcDlovbWHS5YtnGBowQoq7/AIwGcDuAjQBeBJBwPreUY5oA3AVgbo1l+ySApwGcBuARAJcBeJfzt0MAzHF+Ph3AfQBm1FG2rwNoBnAlgDcBfMQ5bgSALQAW1lG2rwEYD+B/APwdwGMAfgPgVADXAWjldha/dsZtbOi0sXL+1d2SEELsAHA/gL0ALAFwheGwUQCahBCvE9FUIvpAjcQ7EcAPhRD3AvgibBPxYwAghHhWCLHCOe5V2J0kWyO5TLI1AfgM7OfX6vyDEKILwC2wG3A9Zfu4EOJzjozfFkKcC6AP9nvtrrZA3M4qIhe3sQLEvI0NmLoqCcVkvlkIsRPALwD8CxFNF0LknaAPYJu3bUR0MYC/ASha3rZMueRzWQrgTAAQQiyGPXOZZMia+CRs83FbNeUqItvjsH2wk2Cb16cR0VlE9HUARwJYXkfZngCwJxEdJYRYK4R4wDnuDNgz0mrLxe2sMnJxGwuXK5ZtrBLUVEmQk1MtX7Rw7C8hRJ/z/3MA/gHge87vcsZ0EOxMj3cBOEMIcX2F5ZpPRE3yd+FlQTwBwCKiY5zfX4ZtSu7hfO/jRPQygJkALhK2H7SilCjbegAHCSFuBnA9gKMATANwphBifZ1lexv24AIiOoaIHgGwpyNnteWKSzs7kohmK3LFop2VKFet21gpstWyjelyxaKNVYVa+LQAHADgnwB+qX1OUPx1zmfTYM+k5gOYADtlbB8AR1dBrgWwZ0d3ApisfG45/48B8CUAP4fnX7wOwCXOz/sDOKJKz2ygsn1FPzZGssnnNg3A/BrKVe92diBsN0Q/gAPj0s7KkKsWbazcZ1atNhYmV13bWDX/VdWSIJufALgZwG+FEBcof7OETZ6ImoloBAAIIdbC7uQvAXgU9u5JLwshHquCiF8HcLsQ4v1CiA2OXAnhzVY6YQfAGmAvaErB9rtudWRdJoR4sgpylSPbFnkCUb288HKf21ohxCs1lKsu7YyIUkR0A+zKnj+DHXQ+TpGrLu2sAnJVrY1V8JlVtI1FkKveY1n1qLYWAvAr2H46+fts+KP934KdIrbA+f2jAN4C8N8AUlWSyXLk+F/ls5NhB5WSzu/fhZ3iNw+2CXsT7FnBDXBmLixbPGSLKNd36tDORsAOQDc7v38SwC+lTEr7r/XziqVccZYtolzfqHUbq8W/ajzMw+Ck7Dm/t8Peg/oK2H7EO2BbFgfCzv3+I5x0P+X7M2sgVxuAN2AHv+6CPTO4GcBXAcwwyGUBaKtSA2TZai9X1dsZnFL8yt/OA3C9/Bts99gfAcyu5fOKk1xxlq0CclWljdX6XyUf6CgAd8M2A78OJS8ZwOcBLANwDIBG2KUGfgCgQzmmWjOAQnJdBuB5AO9xfj8GwF8BHK42wKo9fJatHnLVtJ1B8VXDDlZuAjBa/q1ez6vecsVZtgrIVTVLqx7/KhmTaIU9e/uc87PMOoAQ4mcAjhdCPCqE6Ic901sIoAdw4xO5CsoSSS7Yi25mwA6CAcBiAO/Azq2WclWz3gvLVnu5atrOhE3eyehb4xxzrPybIldNn1cM5IqzbOXKVa02VhfKUhJOat6xRNQu7EDhjQBug90pDyWiPeSxwl5oIjkIwDoAOedvlQ5+FZNrsnPdFwF8GcBniWgcgH8DsC+cPPRqNEKWbVjJJVNYybm2TMuVSouGk1xxli2ucsWBkpWEk7E0iYgWAfgE7GDOdUQ0TgjRJ4ToAfAg7EyDE5TvNRLRcUS0GPZS+SuFk1NcCQYqlxDi1wD+BLty5AcAnC/srISKwbINb7mEEMLJgOmC7bI4TH4+1OWKs2xxlSt2lOKbgpePPAfA752fk7DrpdyhHfufsDNdRsLLCDgCwPtKuWaV5WpTPq9WhgvLxnK1DEe54ixbXOWK479IlgQRJYno+7CrUB4LYC48V1EWdmD6cOdvkl/CTht7EMAaItpDCPGkEOKuKNesgVwPAFgpzUghRKZScrFsLJcm1+rhJFecZYurXHGmqJJwHtYS2CbXStj55hkAxxPRIYBran0btokvOQN2oa1lAPYVQrxdScErINcL1ZCLZWO5hrNccZYtrnLFnghm2dEAzlF+/wWAi2AvJlnifGYBmAg70DPD+ey9AI6plgkUV7lYNpZrOMsVZ9niKlfc/0V5sC2w1zZIH97HAPzA+XkZgM85Py8E8KeaCR5TuVg2lms4yxVn2eIqV9z/FXU3CSF6hBD9wsv9PRle7ZZzAexF9sbjf4K9kKkmu2bFVS6WjeUaznLFWba4yhV3Iu9xTfYG6AJ2NcO/OR93wl7lug+A1cIpqiYcdVwL4ioXy8ZyDWe54ixbXOWKK6Wsk8gDSMGusrjA0biXA8gLIR6XD7UOxFUulo3lGs5yxVm2uMoVT0rxTcFeOJKHXbP/vHr7yuIuF8vGcg1nueIsW1zliuM/ch5YJIhoCoBzAFwt7BpMsSCucgEs20BguUojrnIB8ZUtrnLFkZKUBMMwDDO8qOke1wzDMMzggpUEwzAMEworCYZhGCYUVhIMwzBMKKwkGIZhmFBYSTBMCRBRjoiWEdErRPQCEf0X2dtZFvrODCL611rJyDCVhJUEw5RGrxBifyHEfNi1f04H8I0i35kBgJUEMyjhdRIMUwJE1CWEGKH8PgvAcwDGAZgO4HcAWp0//4cQ4kkiehrAXgBWA/gtgJ8BuBLAcbCrkv5cCHFDzW6CYUqAlQTDlICuJJzPdgCYB7tIXF4I0UdEe8IuN72QiI4D8CUhxJnO8RcCGC+E+C4RNQJ4AsCHhBCra3ozDBOByFVgGYYJRZaTTgG4loj2h70l5pyQ40+BXVjug87vIwHsCdvSYJhYwUqCYcrAcTflAGyGHZvYBGA/2PG+vrCvwd7g5r6aCMkwZcCBa4YZIETUAeB6ANcK2287EsBGIUQedvG4hHNoJ4A25av3AbiIiFLOeeYQUSsYJoawJcEwpdFMRMtgu5aysAPVVzt/+wWAvxDRhwAsAtDtfP4igCwRvQDgJgDXwM54et7Z+WwLgPfV6gYYphQ4cM0wDMOEwu4mhmEYJhRWEgzDMEworCQYhmGYUFhJMAzDMKGwkmAYhmFCYSXBMAzDhMJKgmEYhgmFlQTDMAwTyv8DzvLa9Q2uYB8AAAAASUVORK5CYII=\n"
            ]
          },
          "metadata": {}
        }
      ],
      "execution_count": 26,
      "metadata": {
        "collapsed": false,
        "outputHidden": false,
        "inputHidden": false
      }
    },
    {
      "cell_type": "code",
      "source": [
        "adf_check(df['First Difference'].dropna())"
      ],
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "Augmented Dicky-Fuller Test\n",
            "ADF Test Statistic : -21.04539925660777\n",
            "p-value : 0.0\n",
            "# of lags : 0\n",
            "Num of Observations used : 501\n",
            "Strong evidence against null hypothesis\n",
            "Reject null hypothesis\n",
            "Data has no unit root and is stationary\n"
          ]
        }
      ],
      "execution_count": 27,
      "metadata": {
        "collapsed": false,
        "outputHidden": false,
        "inputHidden": false
      }
    },
    {
      "cell_type": "code",
      "source": [
        "df['Second Difference'] = df['First Difference'] - df['First Difference'].shift(1)"
      ],
      "outputs": [],
      "execution_count": 28,
      "metadata": {
        "collapsed": false,
        "outputHidden": false,
        "inputHidden": false
      }
    },
    {
      "cell_type": "code",
      "source": [
        "adf_check(df['Second Difference'].dropna())"
      ],
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "Augmented Dicky-Fuller Test\n",
            "ADF Test Statistic : -9.198100954331373\n",
            "p-value : 2.0366536114220253e-15\n",
            "# of lags : 15\n",
            "Num of Observations used : 485\n",
            "Strong evidence against null hypothesis\n",
            "Reject null hypothesis\n",
            "Data has no unit root and is stationary\n"
          ]
        }
      ],
      "execution_count": 29,
      "metadata": {
        "collapsed": false,
        "outputHidden": false,
        "inputHidden": false
      }
    },
    {
      "cell_type": "code",
      "source": [
        "df['Second Difference'].plot()\n",
        "plt.show()"
      ],
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ],
            "image/png": [
              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\n"
            ]
          },
          "metadata": {}
        }
      ],
      "execution_count": 30,
      "metadata": {
        "collapsed": false,
        "outputHidden": false,
        "inputHidden": false
      }
    },
    {
      "cell_type": "code",
      "source": [
        "df['Seasonal Difference'] = df['Adj Close'] - df['Adj Close'].shift(12)"
      ],
      "outputs": [],
      "execution_count": 31,
      "metadata": {
        "collapsed": false,
        "outputHidden": false,
        "inputHidden": false
      }
    },
    {
      "cell_type": "code",
      "source": [
        "df['Seasonal Difference'].plot()\n",
        "plt.show()"
      ],
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ],
            "image/png": [
              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\n"
            ]
          },
          "metadata": {}
        }
      ],
      "execution_count": 32,
      "metadata": {
        "collapsed": false,
        "outputHidden": false,
        "inputHidden": false
      }
    },
    {
      "cell_type": "code",
      "source": [
        "adf_check(df['Seasonal Difference'].dropna())"
      ],
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "Augmented Dicky-Fuller Test\n",
            "ADF Test Statistic : -4.925772711271887\n",
            "p-value : 3.106206574842781e-05\n",
            "# of lags : 17\n",
            "Num of Observations used : 473\n",
            "Strong evidence against null hypothesis\n",
            "Reject null hypothesis\n",
            "Data has no unit root and is stationary\n"
          ]
        }
      ],
      "execution_count": 33,
      "metadata": {
        "collapsed": false,
        "outputHidden": false,
        "inputHidden": false
      }
    },
    {
      "cell_type": "code",
      "source": [
        "df['First Seasonal Difference'] = df['First Difference'] - df['First Difference'].shift(12)"
      ],
      "outputs": [],
      "execution_count": 34,
      "metadata": {
        "collapsed": false,
        "outputHidden": false,
        "inputHidden": false
      }
    },
    {
      "cell_type": "code",
      "source": [
        "df['First Seasonal Difference'].plot()\n",
        "plt.show()"
      ],
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ],
            "image/png": [
              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\n"
            ]
          },
          "metadata": {}
        }
      ],
      "execution_count": 35,
      "metadata": {
        "collapsed": false,
        "outputHidden": false,
        "inputHidden": false
      }
    },
    {
      "cell_type": "code",
      "source": [
        "adf_check(df['First Seasonal Difference'].dropna())"
      ],
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "Augmented Dicky-Fuller Test\n",
            "ADF Test Statistic : -9.812689400170266\n",
            "p-value : 5.602324704096988e-17\n",
            "# of lags : 11\n",
            "Num of Observations used : 478\n",
            "Strong evidence against null hypothesis\n",
            "Reject null hypothesis\n",
            "Data has no unit root and is stationary\n"
          ]
        }
      ],
      "execution_count": 36,
      "metadata": {
        "collapsed": false,
        "outputHidden": false,
        "inputHidden": false
      }
    },
    {
      "cell_type": "code",
      "source": [
        "from statsmodels.graphics.tsaplots import plot_acf,plot_pacf"
      ],
      "outputs": [],
      "execution_count": 37,
      "metadata": {
        "collapsed": false,
        "outputHidden": false,
        "inputHidden": false
      }
    },
    {
      "cell_type": "code",
      "source": [
        "fig_first = plot_acf(df['First Difference'].dropna())\n",
        "plt.show()"
      ],
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ],
            "image/png": [
              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uIl8QkRuCYP8HqAX+XUS2isjGAtEZhmEYp4FS3DKo6oPAgzn7Ppfx+6oxTpdhGIZxCtgXqoZhGDHExN0wDCOGmLgbhmHEEBN3wzCMGGLibhiGEUNM3A3DMGJISUMhz3RcT3l851G2H+zi/PnT2bCqgYQTNWuCYRjG2cGkF3fXU973nafZ2tJJ/6BLdWWCtQtncu8tl5nAG4aB6vBUWJ7m7wN/siwv2Jd5SBU0Zyotf190HIXTMPy7MuFQXZkoNfmjZtKL++M7j7K1pZO+QReAvkGXrS2dPL7zKG9dPXeCU2cYpw9VxQ3UyxcfX5hUh8XFU8VTTR/PjmBY4DxV3CA+VYbjzRG7KKHz1N/OFEzPG/4dnjd8WU2fk5n2rITlXC8ynozzc4+dSdTVVrJy7rRxv86kF/ftB7voD4Q9pH/Q5eWDXSbuRkG8DBF0Pc2y2kLxyhQp19UM0dAsAUlv6bAwpTwPDcTSj9+/zrN729l5uIdl9TVcsngWjkhWHKEguXlWZPZ2WrwLCbVx1jPpxf38+dOprkykLXeA6soEa+ZPn8BUTQ5Uh0Un16qKss7AF6u0FRic54XhM8QN8gUr18KLav5GW3Cabk7nhg+tUk+VlBdamsOp97zcuCYGz1O+/NAOmo/2MJjyqEw6rGio5TPXrcYx96ExDkx6cd+wqoG1C2fy1KuHUCfJ1KoK1i6cyYZVDROdtIKEzedQcDKbwilPA9EcFrkhVyOFMhQuLy3SobU4LHzhOSnPSwt5KOZm7Z0+trZ00ny0h4GUB8BAyqP5aA9bWzpZt3jWBKcuG89TtrZ0sre9lyVzali7cKZVQJOQSS/uCUe495bLuPxdtzBY08DffvYTRUfLaCBsmc1sT2HI9RhyfRH00mE08EX6TWUvw4TsG3R5Zk87rx7pYWmd38wOr5tpiXoZ54UCe7qxAjux7G3vZTAQ9pDBlMfe9t4zStythREfJq24D6RcXM+3dFOuUtHejNO2i6V1n2XPsZ6MXvFAZD04GZwTdhKdCpOlEHiesmV/B/du2kdH3yApV8/YtMaZJXNqqEw6acsdoDLpsGROzQSmKp/J1MIwRmZSirsqbN7TkWWJ9g16CMqRrtOzCNRoCsHptp7DCmjn4W5SGa2FMK1b9nfgiJg1fxpYu3AmKxpq2b7/GCSSVFUkWdFQy9qFMyc6aVlMlhaGUZzJKe5IntXsXnQT07b98LSlodxCUIqlP9biH1ZAqQg30EDK495N+zjRP3RGtzxK5Ux3OzmO8JnrVvORj30St3Yut99262lPYyn3aLK0MIziTDpxV4TOBZdz4HB32nc9kPJgeiNDc5aftnSUWwiKWfrluHmiCml4jcx9URVQiCNwrGcg7b6azM3v0brIxrtCiIq/sr0Z2ptZt/hTY3adUtNSyj3KbWFUJhPMnV7FnmO96eNnUqVpFGZSibvrKUdWv4eT0xrJGxuXSOLWzh2XAhsVZ7nN7GKWfqlunqhCury+BkFobssuuNeef05eBYQqIpJ3+3LTU8o9OFMK+WhdZOPZZ1IofkWQEb9lHB9GukdrF87MerZ3XHMef/yJPydVO5eGpus40nWS+7e0TvrW3dnGpBL3x3ceZaB2HjgRyfY8PHH48oM78kTuVF7GkUSgnGb2otlTQcj+vE6C/ZTu5okqpK8c7vbTmmOFcz5ZFRCeiwwNkKyZxpCbLzAVCcH1lJ9sac0S8EIVynUXzGP/8b5TEvuRKo1SK5TR+InHu+Nwa0snu450M+gOty53Hemmcs5y33o/zRS6R3uO9fDgS4fy3u+K9t0owqET/el3Zazv0ZlsMMSBSSXu2w92obnCrgoi4CQYWLSelw93pUfCjEUn53P7jvNKjgsoM85CzezMeBfNnkrz0e6Cn3tv2dfBwc5+kgnJEt0oN09UIS1khe8/3pdVASV6jpCqPYeBZb+Vdw8dR6hIOPzyxUN5lViUEO441M2rR7pJef5w1MaZU/jSja8jmSx9otGRKk6g5D6KUu9dsfs42o7D3HfowsYZPNHclhb2dPyuIrVzx03cR3qXC7kRPSWykkvOWUH/iqvwcvIwkPJ4cvexkoW4UJrGs+VUqtsy7hXJpBL38+dPR7wUmqjMPygCiYo8AR3pZSz2gqVSHl9/rDlvXHoxEUilPO584CUOdPbjeppnsIco8P2n93Oif4iBlIcAqF/ICrl5ogppFIXELdFzJP98z+Wy5Q1s2d8ZaclGCaEC4S7XU/Yf7+fOB17iK+98XcmFZiTrGaJFJ6qPIp2X8OGLkHSECxtnFLz2otlTR6wQilX64fE9x3p4Zm8HR7pOMpjyqEj4lWT/kJt3TYDBeRdSve8ptuzrGHPX4Ujvcq4bMZlIML26gsNBurPSmPLQhvPwqmojr/XM3uN0PrSjpD6NQmkar5ZTOW7LkdI/UqU0WSqOSSXuG1Y1UNVziP7quUhFZWC1F7cUC72MxV6w+59vjXRfOI6waPZUtuzroG/xlSAO9z/XytI632q784EX2X+8Px2+kIc16QgdfYPpayiA55Hoa+d3fmsd71zbmPeSZBfSCr9SyySwwudOr+K1th5+tLmFnjXv8N0ybopE1wHOq69le8ux9L5k1wEaZy5h02vHs6IKK7FSK5QDnf0FC2dUoRjJelYl73oDKY89x/xKdcv+Dl490p39fDLuxckhl59uPcDvrluQZ+nvOdbDptfa/XODCkEcYXldDZ4q9z/XkiXYuWIQWbGE6XeVQTda2AG0ahrdTX/IXb/eNSqLNTMPnoIjwtIg3SO9y+FonVs/9uf0r7gKmTabY90DdPQO5rkLE46g+K3hKIZcLUmIo8rXzsPdbNnfwf7jfXnPPjTEogR1y/4ONr3WDsD6ZXNYt2hW5P2KuuarR3oQoWT3UqFK6Y5rzuNvHnnllCuO08WkEveEI8zd8e9sPy5M3/BHeFXT/BczAwHUTfkvZlDYC72MI/khPVV++eKhyHRUJYSHXzrMq0e6GFrquzh+vKWVqqTD3OlVHOg8OWI+NOjUnDW1kmM9OePynQRubQO/fPEQO490570kjiPccc15fODuR/CqIzpv1WNOTTVHuga4//kD/r5kZfp/d8ZCVjbUsOvJB0nVrcBJnaSqdTOL51xTcPRPlNUXNbzS9TSvRRMWzO9t2svx3iFcT0k6MH9GNQtGsJ53t/VE3rvwa9/vbdoXWfGm06LwwLaD6XsIRAuyDH9R3D2Q4huPNUdWKpmdj/dvac1y1ZWFJHBr5uDmiPDmfcfZ197HziPdrJo7jXeubcxycXmesnnfcb7zm9foOpldeVQlHaZXV0SK5YMvHUpPb7H/eB/utHPwKmvS7pb0c1QPEBAh5SkyvdHfV8B4GgjKyUjivre9N+9epjzl3k37eN/6xZEGw5O721F8w+fcubV8+trVfOXhHew41J2uf57Y3c6iWdV88YYLeOlQV1ZFd+hEf959iHpXQyMitzM53I6qKH+69cApVxynk0kl7kB6pIFXWeNbngGqingpVi+Yza7nn2Jo7vlZ50U9TNfTvBdMBP7z1TY6+g5GvhQA1ZVJdh7p8t0SGdbiQMqjpaO/6NevIkLCgStXzOGhlw5His1Io2V+uvUA3pTpkVa7DPbTdbKisJXtJPjZtkOw5Eo/PiA1cxEPvXiIFRkWfe4QuHAEhVs7l49+5MPct7mFluN9WWmoynEFhe6pluN9Wa2XlAf7O/rZ39Ff0BW151i0uB/u6uebjzdzvLf4x2qupwXdPFEc6OyP7L+A7M7HUQs7gOfmWcQDKY9vPNacFojtB7t4+KVD3Ppby3h2bweqSsvxPloKGA0DKY+O3sG8ijKM6+WDXWnrXBddXtAiz3yWGhoOwSRsknMc4Jm9Hbzz4gUFLdQlc2pIOpJXjtp7B/BUszv7g0okDJnylJcPdfOlh3aw62h3Xut3f0c/H/yXZ7POAX+Ib25LJOlIlgCDb0Qsmj010kJffc70yIryv3a1RVZWuZwpH31NOnEHSNQtzhJ2AFSpbHuFO2/9EB955DsM1Z07bLES/TBD/+hAajDt4vAU2noGoy8cdN629xY4zggzD4YdvwGe5790US94SO5LEjYXXznUFW1RqUeycy+DUy4omL50GrIKqrDzaDf/4y0r2ffIP2UNgfvxllaSjjCrphJFmLLvSdYt+ksefPEgBJOTCb5bY0X9cB+B52meeyrytgB4LsmuAzQ1XcL6ZXMAWFpXS2VC8jolN712vKAAhy2iTAaCewgUHPMfMpJeZ3Y+Rgp7zvMNXwQNbpAgVFUkGOo+hlc9O+vdFMgT5b4hj689WnrHa8pTGqZVcbSjO+9d0vQ/+MciX9LcJnDGdmoI3AGorMnaf6Tr5IhfOV/YOIOaqiQn+gazznM9+NZ/7uaq1Q28vGcQdRJ5lw8JR4JFEZWL9KNxh8BJUFWRTLtOQsMl3Le7rSdysMTKhtrIivJYIV3IIbe/K9cl+dbVp2dSw0kp7u6xfeCmsgoIqUEqj+7AcYRk+2ugblYHG4DnZvslB13F9VySx3aRalgFUuR25FrKI5Fr8eScW5l0WFpXyzsvXsBHPvZJBhtWo40XZr1QjuMPTfQ8348eDq9zNSItqjDQhdPfmT5v+FDgVx4h/a7nd+5GDYFLeUpb9wCc/w5Onmjl359r4dWjvSBOukwmRLj2gnPSBXtrS2dR99RwRpOkZizgid3tbNpznMaZU/ji2y/wK74Dnf51wmc4CoO5taMv3VoaSd/zOr6D+1ZVkWBFQy2OSH4FkSvqGfsrjr5M+3MPMzA4wKKL3sDtt93KP376y/Rc9PukpjemRXgsRr1XJR3+4LJF3PXT3+DW1BUUy9y8RVf2OTgJkl1tpCqzO+gHUh5//5+7OTnkBm4RWDCzmi+9w+9U/5tHXqF3YCgyyr4hj40vHM6rMMaKRNcBEgPdNF25gfXL5rB2wUxu+8RfMNRwHpdc8SZaO/r5+baD5Hr2BlIeTzQfI5XRH1Po+UZV5o4jTJ+SZPfRbna39SD4fX4HOvoJHF9876m9PP4Xbx731ZhKEncRuRb4OyAB/JOq/k3O8Srge8AlQDvw+6q6d2yTOkyqZSvJrgMM1c6DZCXipRg62kxF+27/+JxlIImsmz+Q8vjWb17La1a5CtSd64cvl0IFG0AksnypKngpVsyfk7ZyQkGtWdnEkY5uSFQg4gv0A9sO8syeYzQtns1vdrfnWbJZl1QYWHhpuMrEcDpKLDwdfYNUzllB34qr0KjrJCpwZy5m47aDeSLrj5jpY90i/4OsX754sDzXRTDENRx581c/38671zWyvaUdSRZ4NrkVqHqRz/GpzI7inGemqunzNTwexofi9J/go1dfCsDDLx3OT4PnMXv6FI7nWnUClUd3MLRvCyf7eqmeKaxb/CkEpbJ1M6lVdX5r8VRRJZEQpldXsOdYL271rMJul3TayhRTL0XyRKtfISWzR6plrqPgqe8uufNnL/KepoXB1BdFrldqWkYqaxG40xtxxeGJ3e1s3tfB8voaBha8ntT0+TyZM3AgE0fgeN+Q/y6MotIJW/4/2Xow8rgCR7oHuODzj/D1my/mmvPPGbflQIuKu4gkgLuBq4FW4FkR2aiqL2cEuwXoUNUVInIT8L+A3x+PBAOgyrRtP2RfX5Jk3WIaqmHfEw9wznnn43nKQMOayILTN1hgFEOuiye4BlDkAQduibIseo/+LT/nt6/5FN98vBlV5UTTH+FVz6K3e4Bh+9GP0/WU1s4BWjujO3fTeCm0qnY43yJ5ze9MCz7Kmh9yFXfh69EpIyx0UuDr1ky3V+bHO7nXl1xrp8C9a+3oY9Oe49EfrGWkJetscYbzFRyPOid7cwR3hDh4lTX8+LlWWjv6hy3szPvqOBzvjbZOvdoGEGHKsib6Fl/Jfc/up/Oy29CqaVkd/qNGFdRDSNDWPcADWw/mv/fhPc5Mc7kt0NQg0n0Y6e/AmzoHKZL21s5+Nr3WXtQNFn25Aq3Mcu+Vk8zqv3r1SA+pGY1FK1RPGd2qLmWmz/WUP/n+Fi5fPmfc1nuW3EVe8wKIXA58XlWvCbY/DaCqX8kI80gQ5ikRSQKHgXodIfLZi1fr1Z+5p+wEb922ld6eHqZU19Df5/tSq6czpHUMAAAYqUlEQVT6v6um1pCsWzL8UpX7QmQKeoSFF5IWDncIlQTilPbhTjoOz0UyK5Qoa7LEtPtxKuK5WS90KfFGXqdYpVbA8q2qSFCZELoHClSgoZVdoriDb0W5noeUMNw1nZaxbuKXaTEOn+chvcdwk1ORymo/DxHvVbFrF+rMDK8BZPe/RLkLyhH3iPOHTQ1GTk8GVUnHHy+fFbWOkBcdjr9I3FFGQinnjfpZjmN8AqycW8usqRHf7hTgvtuueE5Vm4qFK6XUNAItGdutwb7IMKqaAk4Ac3IjEpFbRWSziGweGoq2doqx9qK1XHHFG/KEXabU4k5v9N0uET7uUlDAGzqJO9if5wcVEV9Ag3CqijpJnBGEXTVwj2RYIyLiWz7ZkZed1vSpKM7JLlKdh1DNsZRCCz1t4eXnKT/CIvcuwvJVL8XJoRRdJ1MUrM9LsKJz8T8Ay2+BFExaSaHKw1/YpQxLThVVD3egl6GBkzhVU7Mt3XKedfC++O+bl30f1MPzPHSkjtDM7fC5Frt+eDx8b0K3XvAnJcShqoEfXtPvn3ruyJVCZvxFkDB94f8lnJe59GKpFH3uY1BRKNBXyCA6RUrxuUe6jkcRBlX9NvBtgKamJv3RRy4v4fL59A+6NN79aZJ1S5hZDX2zV5Oc1Uhmx1vOdf1EFqvt1UOcBBLhCkg6QsrNF0QRf3xtpH/Zc3H6juPV1peVv1ItEBFIHN/PtG0/oHnndma89y6SNbPyLC8Z6iXRsZ9U/apoF1SR64x0PJEQUposrVCWaZGV1Xrx3KAFNQofbgHLT0dpmaVOHOXwPX/CnCtvInnpgrLPj2KobS81Xi/XX/PbPPnacdo6e5DR9BOVQxn3v5CrT90Uya5WetoOMGXlFWOYuKANUWIawzSVMrgg+zKFx/qPBVVJh7++8Xzeunpuyefcd1tp4Uop6a3AwoztBUBub0EYpjVwy8wACvdanAKup/zRd59l2tW3Q7KKXnWpECffGs6kwAPKdVEggmR2GAX7wo9E2rrya1hPob6mwh8+mdOExUngTZ0F2XvLaxZHERx3BKpa/bG+0952B05VxFwqImhlLam5q/3xl+UIVtFwimrpHbYjR3UKY0bcFF3P/IQ5512G1i0tuSP3/HnTuPaCedx1708YzPkuAvLfj7z3hQiRECFRM4v6d3/eb9WFY0VPkYr6pQypxxPN7XQPpPxO9wJpO51o4JOvmTrVHxmTmw4nQWrGApLO1LG7qAjj004rjbG6347AJYtnjdt6z6VUSc8CK0VkqYhUAjcBG3PCbAQ+EPx+N/Drkfztp8LjO4+yrbXT92M6TjA+fYRsqPrHg+ay30Qs1NGT/8BEYO70Kt77+kW+OOZQkRCuXFFH0iG6CZuo8LXdHZ0baiRcD4YazqNn9duomLcKp6Iq0m3ip8cJRlEMu4kqnBKLSKFHqaMbmlgQzytb5CsSwtDhnXQ99UOmbfsBN1w4r8Rrpbj+dfNpWjKbqqMvQ2rkMczlFGZJVlK18AIqGtcUt/py8xvhBgrdeTgJjvUORn6IlXYfRXSij6oolpXfCvqG/JZTfstWwEmSqJ1dOIKC71eZ6S4hfPpeloAE5Ubw37PwGqMV9mlTEnz8rSt463n1vGPtfL71vkvGrTMVSrDcVTUlIrcDj+APhbxHVbeLyBeAzaq6EfgOcK+INONb7DeNS2rxv7jrLzTqJQqR4aFuQfPd3x9h6Xup7N50EVTh8ImT/Pj51nQlMezL9jh33iySjjPi+Gl/WNwrvP7KDTyz93j2xxEZL6SmhpBkecPjBuvPG3lESVY6AovHHeINq+Zx+bI57D7aw0+2Hih+bpTFP9I7Wa5LQwSKdExL8I96HnguDTNred/6xXzmd/+AKUvXcXLxFYF7JaKcZ3WWezgD/hQTqZTvt/b6OklMry+5CT5SAS+18E+tcDh5/BBe9SwkWUlFQhjs7oAp06Pfz1Kul+mLHiEti2ZVs3D2VOqnVZF0HA6e6OfJ3e3RF4h6llnxl5DfYsMzM0gI1FQl6eofJP1AgfqaSroGUoW/Mi7UUVvK8xhhIIECr188i22tJ+gdSJWWiRySjnDrG5fTtGQ2v3PhfFbOnTaqeMq6ZimBVPVB4MGcfZ/L+H0SeM/YJi2a8+dPp7oykT+sMWtUgDKjupITJ7MfRGj9RBYGwBs8SaIqgebU7oOucvDEyWzx8TyGDu3k2mveAfjz3hR0B7gpKo/u4KMbPkRnOFQw5fpmb6qPqoPbQF26K+uobFxT8r0QQIPKqKy630kwb8aU9JevCSHvY46S8FwkkfMRjuZUXBGFJekI82dMYX9H9terI4niFcvmcPlyv4/+m9/6RxI9R/jq3/0t4Lukkg3L6a+o4ucvHIo24AZ6wRti6sw6+vqH8Kpn8PVf76Ii4dC75kYcJzlmLpRSSDrCH29YwT2f+RJDc5Zz3R/+GYtmT+VrP/oVqSkzRj8So4Rzko7wnqaFNC0Ztqa37OvguX0dWcKZEH8UVF+UoJWZthFHSamCl0ISFVQG8zMd6RrIqmiTjvDeyxfzq5ePZH1hfs6MKdRWVfDyoa5CFy6atvPOqWXXyy/izloSeTzhQMP0KQykOvLicwRuuGg+SUd4es9xDp04mZ6SQARQ0tMarFt0eqcjmHRfqG5Y1cBFC2by1KuHgs7BnGaWelTte4oP3fpHfO3RXcX9r8G5AoG/XckdeucPycuJx3GoaFzNNx5rZnl9DY0RYpUepTLYS6r2HLa2dPKXV6/ir36+nf3HunxrJlFFakYjglAxrTSXgiNQW5Wk++TorAjcVPrz6LULZzK7tsr/ArUQEVabei6iXn6veYHCVJEQUq5mrRIVNUlX5OWBy5fPoWnJbDxPSfQcwa2dy9aWTlzPo+Kcc9N9JQWfd0UVOFN9oyCoENMzOCYrC2t6seGIAQtnVdOS+/xzSAQzHGYW9n9GqWxv5l3rFrBlXwfu9PlFh9Y6UoI7rJAVi1+RP/zS4ayZFcPJ4ZqP9jAwlAI3RWPDDA6fODkmo0JGSpucPEGy6wCXvWEDly2dzb72Pu7f0poVxvWU1o7+9HTBuRN97W7LnjdoRGMrg6qkw9svbOTvf3UPPbkfaQX3y1Phieb2yHlk6mqreM8lC3Ec4Z0XL8hawwE45cVsToVJJ+4JR7jng6+n6R230Hfe29CKKdkBRHDUZd2iWTTOnFJ0bpOsU6Om0AVqpyQZGPJyJhjzww2kPHa39fLRDcu5f8uB9BzuwwEdtHomJ5e+kbt+vWvYKgldKclK3BkLhq+fS2DV1M+oCXz7TnqK11LFcWplgiHXI+X6nV/JrgOsXfhGwP9c+v3rF3PXr3dluYuSjjB/ZjX7j/dFR+ok8L10pXHpktnMn1mdNQf2ioZadh7uLjhBW4hC+uvXLz+0Iz2F8d89+qpfuRT6MCWzqV3u16AZ5xYrkjWVCd5zyQK+8VhzwS+IKxPC2y6cT8KRgoV9z7HeoukU8T/xP3DiZOlfAIeWcnrECDS3ZU9KF04JvGV/B1+/935AWLDqTbRElJ9ShXMkV0dWsCnTGKpew7N7j9PRNxi5PGQ4X4vjCOsWz8qalCuzYgonAAvL2UjloyqoZC9snIEiOIO9OJWVwy7WjPvV0Tfo9+/klJH3rV+cfo5RactsHZ1uJp24h7jTzkGTlfkvjufhTp3D1pZOvvj2C/irn2/nQGc/KdeFoUFE1PdnJvM/GtDcj4sC3nJuPbvaegvOKjiY8mjt6Ocr73wdW1s6eXL3scC3nh1uIOVxoDOiUDoJovwBq8+Zxp4nf0Gy5whf+7u/zVssYkVDLa8e7mLII68gCWTNQ/3CgRPsbe/loX/+v1S078Zxbk7HtW7RLM6dOy1vdryC1nUJgpdJVdLhiuV1ebPkhWLyvaf2cqxncLjjL+eZhrNNhlOxhs8uFNJcd44j/j63/A8khykgSKGwOQLVFQmuXjOX3w1mRlw5d9qwyy1jmF4oIplzy4P/DAfnrMCtncvmvcd5Zk++z9sRuHTJLBzHwRHhsqWzWbtgZvSkbGW4cgrNXPjw9sMM1vlDZp/Zc5zcCXcqE8I5M6o52NkfXSkHrVUnkQimGi7FH++XudzlIXPfx0LrE4cVU+5qWOHc6wMpj4T4Rtr586bTMH1K2kgKw/WuuRESSRyEmkqH3hy3bzgx24n+oaw0nW5XSzlMOnEPh0KeXHR5dOeXk2Bw7hru+vUuVjTU8qUbL+CFAyf46y9+kdSxfSya6pKas4xrP/iJ9IIMAykPHRpEUwOQyF99Jplw0i/PsHAPv9i5VsXe9l5/4qEC6c+3fPILQFXS4W0Xzuc7P3jCz1aOlRe+0PdvaeVnWw+Q+YlS0oH1y+q4fNnw/DXrFs9i7cKZPAScXHwFW/Z1pI9FFY5M6zosZLkTkpVC1QgF03Ekbdn4LYeRz//Z1gMlfdJeXRHRJxNBZcJ36ZXS+gHfB/32C+dRkXAire/wHn7jH76N03OU2z55Z8FmeTjD53ArZJcvljnivGDWVP70LefmPf8v3fg67nzgJVo7+rI+mXcEKhIOrqfD4hsh+FErdeVWnqlgFbFcl9od15zH1tZO7t20j46+QVKuP0e/4zgMDA6CJPw05ZTP0OAACr5PmctDlrO6UZTVXEocW/Z15OWZwJ+fWcarko5vpUv0DJhnIpNO3MOhkAU/xgl670Mr4IUDJ1i3eBb9z/0MAGf1BVS2N/O7lyzknRcvSFuOR08MRY4Tr0wIS+tqswSy86Ed6Wl6o5bDG2nlokjLJ+NjmvDjpMzpcwvhOOKvmpOjt65HVocp5ItJWPmFi4FEFQ7ILiCup2zcVnie+3S6BC5bOpvGmVNZWle8EOw/3hdZGZ4/fzrXXzAvfX6pK0JdtbqBh7cfGeH+T+HSJXNYWlfDa209w4uaFCL0vYqw60gPn7k+epWd8B5W7/Mr5KYlsws2y6OENArfao/olE46fOWdr+P+La08sO1gupXizxmnrJxby45D0dPlFqpwCy2nmOtSCyvlcJK48N345YuHRhy5dcXyOdz2W8vTrcjwnFLdL+VSShxReR7JSg/jnAxMOnEvNBQyavhb5gIdFYsvJlm3hL6Gc0A1bbmCP4tblL87qhCEVm646PTtt92aJ16hDzB3Aq2qDMvnH/5rN0/kDj0LRD53+tyRKLTwcTGrrNQVYzILiOcprxzuyloVB3yfc8rTrIJw+5tXlmzVROWhKulw/QXzRvStRk3hKwLL6mtZ0dCbN6oiFPTc51WVu2ALZM/nPYKvOpdMV0tm6yiXKFHJpSqYFroQYeXu5VQMQ64ye2plXr6SjrB+2ZysFl0mhZ5DlEstvH74bvxkS+uI+QnjSSadrPdp55Hukt0v40GhPE82Kz2KSSfuUUMhE45w6ZJZWQs8Q/ZMhdOuvh0qphDOMB5arjOqozuwBPid183L85OC/1JXtjdDezPrFn8q79xMN0fuWpfhS3LF8jo25ww9Cwmnzy2lMyaqM6lUq6zcFWMcR7jz+jXp9SwlwwccWmOjKQil5iHXfXSwsz+9LFsapeCoiqg0RV17eX0N110wj4e3H2b7wewhdiPds2Kto0yiRCWsVDJdIMWErlDlvn7ZHDr7h/Lu6R+/aXnBZ1Pqcyg1HSGFWgqF3IGnU0QL5XmyWelRTDpxD4dCbtnfkfUwPvqmFXmL165o8K2e5qM9SGV1Vjyh5bqsPuKTffzmaCJwV+RSinVWrEkYvlRRo0VCy7vU65RSQEq18IsRNslzK55TaUKXU8gz7+uWfR15FWS5zfqRru2I5HWij3TPymkdjVSplDN8biRxynSblOq3Hq3Y5qajWGsp85qn6n45Fc6ECma8KDrl73jR1NSkmzdvHtW5/YMu9/xmT+Qq6bkP6afPH+DHOWNmQ/zx07N5cnf+NDgVCeHjbz0376ULrbNcn/toVjsPF4/O7JjKXWl9LK6Tme5cETgTVmkfLeOdp3Lj/8mWVn78XCu5XeXvvmQB71qXP4FY1Ps62md7JojTmZKOM5262spT+kJVREqa8nfSWe7gN13ftKqeK706XM9jyPUXzYiyArwRKq/KpMPly+ro7B1ix+FhP7IInNswLbI5OlrfdRRRHVO5K7CPxXXCa8XNQhnvPJUbf7mto7GyWifa+j3T0mH4TEpxr0g4XNA4I2uf6ym9gynUA1c1LepzaqMnwU86wup503jzeQ1sWNXA03va+e9X2/CA9Utns3Zh9CiFsfBd5xJVKE7XdSY7452ncuI/FZ+1YYw1k1Lco0g4wvQp+Z2j65fN4V837aN/KHvUwEc3LOdjV52bnpHtdQtm8KE3LkuH8WfTI70wh6d+K6Cjb4Bfvngoq0N3SkWCS5fOZknd1OF5mzLi8ILzw3hcT3E9RYNl+vzrhMc8XA+W1I2Nj9w4fcSxdWRMXmIj7oXYsKqBiwO3R/+gS3VlgrULZ2YJexQSjDcPttL7rzl/Hv+6aX9efO9at2BMp+68ZPEsnmg+lnWdixbM4INXLklfx8upPDxPhysSNP1loQJDroeGFYtqENY/1/U0o1IartRCMlexCSssIKigTm0q9rgRx9aRMTmZlB2q5eJ6yuM7j/LywS7WzJ/OhlUNpyTEYx3fRF/nVPHSIp8t9mGVkDtRZPp3RhWS2bIhoqLJXSZNMyowZbg15AYVXGZlNBw+I80Z+8PKLbdi89IVmfrz8kTkwTDK5XR1qJ4V4m4YY01UpZFZuYVuN0/BdYf7gBRIuV56VscwTGZ8w/FGXyOMJ6x4hivA4QoprKjI2B+e5wY1aG7RV0h/EGUtsvHDRssYxhlMOFlZ9rQtZ16r6lTw56fxcioNn/xKhvRBT4dbT1ktoowKK/PTjnT/Vk6Ljexoh8NmbWemOKeCjAiT2WLLPjPnmhl5ya3jst2U+dfPJfdap6sPxsTdMIxIEo6QKGMFJePMYvyW9TYMwzAmDBN3wzCMGGLibhiGEUNM3A3DMGKIibthGEYMMXE3DMOIISbuhmEYMcTE3TAMI4aYuBuGYcSQCZtbRkTagH2jPL0OODaGyZkMWJ7PDs62PJ9t+YVTz/NiVa0vFmjCxP1UEJHNpUycEycsz2cHZ1uez7b8wunLs7llDMMwYoiJu2EYRgyZrOL+7YlOwARgeT47ONvyfLblF05Tnielz90wDMMYmclquRuGYRgjYOJuGIYRQyaduIvItSKyU0SaReSOiU7PWCEi94jIURF5KWPfbBH5DxHZFfw/K9gvInJXcA9eEJF1E5fy0SEiC0XkMRHZISLbReRjwf4453mKiDwjItuCPP91sH+piDwd5PlHIlIZ7K8KtpuD40smMv2jRUQSIvK8iPwi2I57fveKyIsislVENgf7Tvt7PanEXUQSwN3AdcAa4GYRWTOxqRozvgtcm7PvDuBRVV0JPBpsg5//lcHfrcDfn6Y0jiUp4JOquhpYD/xJ8CzjnOcB4C2qehGwFrhWRNYD/wv4apDnDuCWIPwtQIeqrgC+GoSbjHwM2JGxHff8ArxZVddmjGc//e+1vzjt5PgDLgceydj+NPDpiU7XGOZvCfBSxvZOYF7wex6wM/j9LeDmqHCT9Q94ALj6bMkzMBXYAlyG/7ViMtiffseBR4DLg9/JIJxMdNrLzOcCfDF7C/AL/FXEY5vfIO17gbqcfaf9vZ5UljvQCLRkbLcG++LKXFU9BBD83xDsj9V9CJrfFwNPE/M8By6KrcBR4D+A3UCnqqaCIJn5Suc5OH4CmHN6U3zKfA34S8ALtucQ7/wCKPArEXlORG4N9p329zo5FpGcRiRi39k4ljM290FEaoH7gY+rapdIVNb8oBH7Jl2eVdUF1orITOCnwOqoYMH/kzrPIvI24KiqPiciG8LdEUFjkd8MrlTVgyLSAPyHiLwyQthxy/Nks9xbgYUZ2wuAgxOUltPBERGZBxD8fzTYH4v7ICIV+ML+fVX9SbA71nkOUdVO4HH8/oaZIhIaWpn5Suc5OD4DOH56U3pKXAncICJ7gR/iu2a+RnzzC4CqHgz+P4pfgV/KBLzXk03cnwVWBr3tlcBNwMYJTtN4shH4QPD7A/h+6XD/+4Oe9vXAibDJN1kQ30T/DrBDVf9vxqE457k+sNgRkWrgKvyOxseAdwfBcvMc3ot3A7/WwDE7GVDVT6vqAlVdgl9Wf62qf0BM8wsgIjUiMi38Dfw28BIT8V5PdOfDKDorrgdexfdV3jnR6RnDfP0AOAQM4dfmt+D7Gx8FdgX/zw7CCv6ood3Ai0DTRKd/FPl9A37z8wVga/B3fczzfCHwfJDnl4DPBfuXAc8AzcC/A1XB/inBdnNwfNlE5+EU8r4B+EXc8xvkbVvwtz3UqIl4r236AcMwjBgy2dwyhmEYRgmYuBuGYcQQE3fDMIwYYuJuGIYRQ0zcDcMwYoiJu2EYRgwxcTcMw4gh/z/cjefJqSHAjwAAAABJRU5ErkJggg==\n"
            ]
          },
          "metadata": {}
        }
      ],
      "execution_count": 38,
      "metadata": {
        "collapsed": false,
        "outputHidden": false,
        "inputHidden": false
      }
    },
    {
      "cell_type": "code",
      "source": [
        "fig_first = plot_acf(df['First Seasonal Difference'].dropna())\n",
        "plt.show()"
      ],
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ],
            "image/png": [
              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\n"
            ]
          },
          "metadata": {}
        }
      ],
      "execution_count": 39,
      "metadata": {
        "collapsed": false,
        "outputHidden": false,
        "inputHidden": false
      }
    },
    {
      "cell_type": "code",
      "source": [
        "fig_first = plot_acf(df['First Seasonal Difference'].dropna(),use_vlines=False)\n",
        "plt.show()"
      ],
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ],
            "image/png": [
              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\n"
            ]
          },
          "metadata": {}
        }
      ],
      "execution_count": 40,
      "metadata": {
        "collapsed": false,
        "outputHidden": false,
        "inputHidden": false
      }
    },
    {
      "cell_type": "code",
      "source": [
        "from pandas.plotting import autocorrelation_plot"
      ],
      "outputs": [],
      "execution_count": 41,
      "metadata": {
        "collapsed": false,
        "outputHidden": false,
        "inputHidden": false
      }
    },
    {
      "cell_type": "code",
      "source": [
        "autocorrelation_plot(df['First Seasonal Difference'].dropna())\n",
        "plt.show()"
      ],
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ],
            "image/png": [
              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\n"
            ]
          },
          "metadata": {}
        }
      ],
      "execution_count": 42,
      "metadata": {
        "collapsed": false,
        "outputHidden": false,
        "inputHidden": false
      }
    },
    {
      "cell_type": "code",
      "source": [
        "plot_pacf(df['First Seasonal Difference'].dropna())\n",
        "plt.show()"
      ],
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ],
            "image/png": [
              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2MK5lC0sXTBvs6gx5VTtoK2kC8D3gIxFR9lGTiFgeEYsiYlFjY2O1qmNmZt1UZQtf0ijyYf/NiPh+UrxL0vRk63464HOlzKxsvqiq+ioOfEkCbgE2RMQXigbdDVwNfC55vavSZZlZOviiqtqoRpfOa4GrgCWS1iV/F5MP+gskbQIuSD6bmfXJF1XVRsVb+BHxa6CnVe7SSudvZunT20VVPjg7cL7S1syGHF9UVRsOfDMbcnxRVW048M1syPFFVbXh2yOb2ZDR/VTMsS1P+6KqKnLgm9mQUOpUzNyCtzNtw3cGu2ojhgPfzIDBv9Cp+FRMyJ+KqQnTOdww97jVYaRz4JulUPdwf/28Rv7yq7+v+EKnSlYapU7FjEwdbeN9oLZaHPhmQ1y1t7xLdZ2cMnkcz+1p7bJ1XbjQqaf+82qvNAqnYrYWhb5y7dQf8sVW1eLAN6uRQKzcsKuioK7FLQZKdZ081XyQ9o7oMl5vFzpVa6VRrHAq5u+e3EFk6hg3ehS55h2MbXl6QO20Y/m0TLMaCMSuBW/nujvWcuOKJ7nujrVcdctqOnLR98RFanGLgVJdJ0c7grps1xVIfV2Gp5oPsnLDrmPqXapeTzUfrOiRg6VOxZy24TuI/n1n1jMHvlkNHG6Yy5EJ0ysO6kqe29qRC1Zu2MVNKzd1Ce2SV7GOyvDSxgmdFzplBEc7cty1rqnkyqrclUY5V8cW13PVxt2MbXmahu33s3TBtAGHfU9tHwxDqS7u0jGrgbbx04hM1/9eA7kXTKl+7XJDtKeuoFJdJ2fObuBr7z6H177tveyfvoj2E+d0BlOprpmS9RqVYc5J43li+wtd5tvb1bEDPRWz+PhBa8NpXbp9+uoG6+2YyPE4XjKYd/104Jv1UzmhUH9oF8q1E9n6zrJy7wVTPP8FJ08sGc593WKgVD/92uf28sX7nqQum+Hdr5nDpnv/k6PjG/mXT320c34Hpi/iyMSZ0G0rtLWtg8e27+sM/N5WGq9723tpGz+1y3wLxzIWnDwRBBt2HOD0GZPIRfR5Kmb3YyHdDw4z7y2MPriDjlyQzahk2wsrrMXzp3YJ4DGjMpx60nguPONkTp8+ia/+9pmaHy/pz3GNanPgm/VDuVtsY1ueZvTBHRyZML1fQV1q/q+adQJTNt3DkfGNvOGSP+P5g0f44n1Pcu2SedTXle6VLdkVdDTHf6zaTHsOshmI097ESVtWdK6wVm7YxZEJ0yFTOhZ+8thOrl0yj2xGnf3tr/6Ta7qEe/dHDha3p7Wtg8JXFAGj60R9Xde9BOh6KmbxsZDOg8MnjuXpF1o50p7LT5Ct58iE6Z0h+uj2fce0vbWtgx8+3MRd67bzwDN7OJocoD58NMcTOw/wxM4DZNR1PVeNcC7179Da1sEtv87vkRzvax2GfeAP9sUilh4dueCL9z3ZJTBa2zp48Nm93Ld+J5mMuPfRHQAcajiNCTseJHPSfDrqJ3D+H5/HrMlj+eida8lIXPLK6Sx5+bTOLoafb9jFPY808cTOA2xuPtSlO+XBZ/dSP34aB2ecww8fyc//d1v2cNvvnuGBGy7oDP3CfO59dAc7973IqKxo63bmTSEjO3LAqPE0z7+MS276FT/4wGv54cNNRGZUj+1/qvkgN67YSF02Qy4XIDgy/mSC4OGtLTy8rYVcLtj9kosR8ONHmrjnsR3cv+WFziAtDtQX24MX29uPXVDkCDJ05ILWhpfw4sRZULSF/MSug8dOkqnjrrXbaDvawa2/frpkz/9d65p6PSJQqmu90A23eP5UVm3czaPb95HLBZmMOH16fg/l3kea2LjrIJI4f+FUPrTkZWQz4ucbdvHbzc+TSf6Ni/32qRd48Nm9nH1KA+953dzOPZ5a55ciansAQdKFwBeBLHBzRPT4IJRFixbFmjVryp53Yeth7XN7OXw0h4C6DEwePyr/+4gcY+rrmFBfx8SxWXbuO8Lhtg7q69Q5fPSoLEIEOY6016asvi5zXJc3FOowXNqcUYZx9QIytB5pJxQQx45HwAuH2jiaK/PHGQEEnY+K0LH/iUdnYdaJY3luz+G+51v4f9ptPtMnjWbWiWPZ29rGsy+0HjufiJLL7m5UVkRAe0eurPF7rVcPdS1rXlL+NXJMnjCaPQdehEy273mV2c7+EnDyxHqeL/FvLyi5AhmVgbpMhsPtRRP08p2Myor2jqioC0nSgxGxqM/xahn4krLAk+SfeLUNeAC4MiIeLzV+fwN/5YZdXPtfD3G47P+FZilToyA8boZ7/ftpXH2WL115Vr+7kMoN/Fp36ZwDbI6ILUmlvgVcBpQM/C3Nh3jHV35X9sy37z3ssDcbyVIU9pDvsvr0fz/G8l9uqcn8a30e/kxga9HnbUlZJ0nLJK2RtObo0aP9mvm40dken61oZqQuMEeCPa1HqVXPS6238Ev92rq0JCKWA8sh36Vz5/teXfbMO3LBJTf9iid2HqiokmY2xKWoa0eC973hJf3q1vn2X5U3Xq238LcBs4s+zwKaqjXzbEbcfe3rmD91fLVmaTb81fhEjH6rRn2GY9gPsN39uR1Ff9V6C/8BYJ6kucB24Argz6u5gPq6DD/6yBu4b/1Obv3N02zd00qOoK09yOVytB7NdTk1LQM0TqznaEcQEYwZle8WKkxTi7LRdRnajuPyhkIdhkObR9dl2NN6tMvvY1QGpkyoJ+CYeR9u72Bva4nTCMsVAbmj1NeP7rLM+qw4dfI4Xmg9yp5DbQOfPzCmTrx4+DDUjRnYWTLQZbqezkTpt2Gyhd5Te+sEmUxymmv3tvTUtgG2t5YPa69p4EdEu6RrgZ+SPy3z1ohYX+3lZDPiza+YzptfMf2YYYXz9B9v2s9Cn6dv3fTn99GRC/7i5vtZ/fSeLudsTxpbx1+cdwqnTzuBz9yznj2H2shF/hThkyeN5U/Ozh+2uu22rzH60C5+/d2b+dWm5mOWuWL9Tt73jQePOR/83LmTOXnSaGZOHssP1+1g94EjHGnPMbouQ+PEei4/ayajMlnOmJmf1xuXLKXpFVcRE6fSkcuvUE6bMp43nzGdiEBS52tHLsdzL7Sya/+LrH14HUK8+Y/P5ZSTxjEqk+Xl0yZww12P8fzBClZE7S8y5amf8Jo/ez+rnnyeg0fau7SxLiPG1WfZ/+KxK9PGCfXsbW2jvYdzMwS87w1zyWTEN+9/jkNH2o8dt2hFNrpOnDX7RBonjmbulPFJcf77yGYyLJw+kVwEP3p0B7v2H2HaCWO4NLlmAuDnG3bxvv+8j1z9xPwFarkOsodf4KWnncbGEtcHdFe4uKunFYugpg9rr/l5+P3R39MyzY634oubgC4XUBWG97QCWbx4MQCrVq3qcd5/cfP9PPRcS2egn31KA99473llzb9g8eLFBOLTX/5W2Suyq25ZfcxtEgrng694fCfX/tfaP1zZWmTsqAynTB5Ha1sHuw8coa09x+g6MWXCGE6ZPI6zT23gzi//c3ILh4/w+nmN/GpTM49t35fcCiHDGTPzFzB9+Fvrulx1O64+yxffcSZf/e0zndfaFOv+/RS+m8e27+NoR44HntnLmmf3drnoaaCnPRZ7w+I3crhhLldddz23f+mfGNvyNCvuW8ll//ZrNjcf7Lwor7uXT5vAx948nyd2HOBoR46v/HLLMd9pXUZ8+Z1nc8HpJ/erTkPltEyzESWbERecfnKP/yGzGbF0wbQBBUo2I77x3vN6DfS+5p+/OvU02sbnh3/gjS/tc4+2cL+Xwn1/ut9SYMnLp/G/Tj3xmPvPXHTG9M69isJ8iusNcNUtq3l+3iVEpo7r7ljbuSLpXv+OXHDm7IZjblmxZME0liyY1jnvlyf34nlix4Fjvp/u381NKzfx+6f3dFnOQG5g150IxrVs4bql8/je3+dPn6yvy3DPh17fucL5yWM7eeaFQxw+mmNUVrykcQJ3X/s66usyXLDwZDpywQ/Wbmfr3sPHfA9P7DzQ78AvlwPfbAipZIVR2FJvnveWYwK2t9Dv7RbMSxdM67xvTl97Ft3rvXLDrl5XJN3b3dsyus/7goV9B+JA7zTam+IV6soNu4jk+u1CGwr1vHbJvD5X3J9+y8Jj9pxq2X8PDnyzEaOvLfWelBOMA1kR9bUi6a6SlV0phTt6dt9rGGj/eKkVak+3ci6nLd33nCqtXzkc+GYjRH8DtqDawVhQiy3s/ih3z6RcpVao3W/lPJj1K4cD32yEGGjA1ip4arUi6Y9q7jWUWqEW38p5IKq9V9MXB77ZCFFJwNYieAZjC7aWSq1QlWun/tDAny98vDnwzUaIoRiwx3sLtpZKrVBzzTu6PF5xqHPgm40gIylgh5pSK9T/+/7PD/hB64PBgW9mVqbuK9S/H0ZhD7W/eZqZmQ0RDnwzs5Rw4JuZpYQD38wsJRz4ZmYp4cA3M0uJigJf0v+T9ISkRyT9QFJD0bDrJW2WtFHSmyuvqpmZVaLSLfwVwBkR8UrgSeB6AEkLyT/O8HTgQuA/JGUrXJaZmVWgosCPiJ9FROG5ZPeTf0g5wGXAtyLiSEQ8DWwGzqlkWWZmVplq9uG/B/hx8n4msLVo2Lak7BiSlklaI2lNc3NzFatjZmbF+ry1gqT7gFKPl7khIu5KxrkBaAe+WZisxPglr0GOiOXAcsg/07aMOpuZ2QD0GfgRcX5vwyVdDVwKLI0/PBF9GzC7aLRZQNNAK2lmZpWr9CydC4FPAG+NiNaiQXcDV0gaLWkuMA/4fSXLMjOzylR6t8x/A0YDKyQB3B8RfxUR6yV9G3icfFfPByOio5f5mJlZjVUU+BHx0l6G/SPwj5XM38zMqsdX2pqZpYQD38wsJRz4ZmYp4cA3M0sJB76ZWUo48M3MUsKBb2aWEg58M7OUcOCbmaWEA9/MLCUc+GZmKeHANzNLCQe+mVlKOPDNzFLCgW9mlhIOfDOzlKhK4Ev6G0khaUryWZJukrRZ0iOSzq7GcszMbOAqDnxJs4ELgOeKii8i/xzbecAy4MuVLsfMzCpTjS38G4GPA1FUdhnw9ci7H2iQNL0KyzIzswGqKPAlvRXYHhEPdxs0E9ha9HlbUlZqHsskrZG0prm5uZLqmJlZL/p8iLmk+4CTSwy6Afhb4E2lJitRFiXKiIjlwHKARYsWlRzHzMwq12fgR8T5pcolvQKYCzwsCWAW8JCkc8hv0c8uGn0W0FRxbc3MbMAG3KUTEY9GxNSImBMRc8iH/NkRsRO4G3hXcrbOecC+iNhRnSqbmdlA9LmFP0A/Ai4GNgOtwLtrtBwzMytT1QI/2covvA/gg9Wat5mZVc5X2pqZpYQD38wsJRz4ZmYp4cA3M0sJB76ZWUo48M3MUsKBb2Y2AB25oLXhNFpmvpqVG3bRkRv6d4ap1YVXZmYjVkcuuOqW1TTPewuRqeO6O9Zy5uwGbr/mXLKZUrcSGxq8hW9m1k+rNu5m3dYWIlsPytDa1sG6rS2s2rh7sKvWKwe+2XEwHHf/rWfrm/ZzuK2jS9nhtg4eb9o/SDUqjwPfrMaKd/9bZr2G6+5Yy1W3rHboD2Onz5jE2Ppsl7Kx9VkWzpg0SDUqjwPfrMaG6+6/9Wzx/KmcObuBcfVZBIyrz3Lm7AYWz5862FXrlQ/amtVYb7v/SxdMG6RaWSWyGXH7NeeyauNuHm/az8IZk1g8f+qQPmALDnyzmivs/rcWhf5w2P233mUzYumCacNqpe0uHbMaG667/zbyVLyFL+k64FqgHbg3Ij6elF8PXAN0AB+KiJ9Wuiyz4Wi47v7byFNR4Et6I3AZ8MqIOCJpalK+ELgCOB2YAdwn6WUR0dHz3MxGruG4+28jT6VdOu8HPhcRRwAionDawWXAtyLiSEQ8Tf5Rh+dUuCwzM6tApYH/MuD1klZL+h9Jf5SUzwS2Fo23LSk7hqRlktZIWtPc3FxhdczMrCd9dulIug84ucSgG5LpTwTOA/4I+Lak04BSnZMlrzKJiOXAcoBFixb5ShQzsxrpM/Aj4vyehkl6P/D95KHlv5eUA6aQ36KfXTTqLKCpwrqamVkFKu3S+W9gCYCklwH1wPPA3cAVkkZLmgvMA35f4bLMzKwCym+cD3BiqR64FTgTaAP+JiJ+ngy7AXgP+dM1PxLm4mSIAAAD+UlEQVQRPy5jfs3AswOszhTyK5s0Smvb3e50SWu7oe+2nxoRjX3NpKLAH0okrYmIRYNdj8GQ1ra73emS1nZD9druK23NzFLCgW9mlhIjKfCXD3YFBlFa2+52p0ta2w1VavuI6cM3M7PejaQtfDMz64UD38wsJUZE4Eu6UNJGSZslfXKw61NNkm6VtFvSY0VlkyWtkLQpeT0xKZekm5Lv4RFJZw9ezSsjabakX0jaIGm9pA8n5Wlo+xhJv5f0cNL2v0vK5yb3rdok6c7kOhiSCxzvTNq+WtKcwax/JSRlJa2VdE/yecS3GUDSM5IelbRO0pqkrOq/9WEf+JKywL8DFwELgSuT2zOPFF8DLuxW9klgZUTMA1YmnyH/HcxL/pYBXz5OdayFduBjEbGA/L2aPpj8u6ah7UeAJRHxKvIXNV4o6Tzg88CNSdv3kn/eBMnr3oh4KXBjMt5w9WFgQ9HnNLS54I0RcWbR+fbV/61HxLD+A14N/LTo8/XA9YNdryq3cQ7wWNHnjcD05P10YGPy/ivAlaXGG+5/wF3ABWlrOzAOeAg4l/yVlnVJeefvHvgp8OrkfV0ynga77gNo66wk2JYA95C/CeOIbnNR258BpnQrq/pvfdhv4dOPWzGPINMiYgdA8lp4Vt6I/C6S3fWzgNWkpO1J18Y6YDewAngKaImI9mSU4vZ1tj0Zvg846fjWuCr+Ffg4kEs+n8TIb3NBAD+T9KCkZUlZ1X/rI+Eh5mXfijkFRtx3IWkC8D3y92PaL/X4WMAR1fbIPx3uTEkNwA+ABaVGS16HfdslXQrsjogHJS0uFJcYdcS0uZvXRkRT8tTAFZKe6GXcAbd9JGzhp/FWzLskTQdIXgtPGhtR34WkUeTD/psR8f2kOBVtL4iIFmAV+eMYDZIKG2nF7etsezL8BGDP8a1pxV4LvFXSM8C3yHfr/Csju82dIqIped1NfgV/DjX4rY+EwH8AmJccza8n/yzduwe5TrV2N3B18v5q8v3bhfJ3JUfxzwP2FXYJhxvlN+VvATZExBeKBqWh7Y3Jlj2SxgLnkz+Q+Qvgbclo3dte+E7eBvw8ks7d4SIiro+IWRExh/z/4Z9HxDsZwW0ukDRe0sTCe+BNwGPU4rc+2AcrqnTA42LgSfL9nDcMdn2q3LY7gB3AUfJr9mvI91WuBDYlr5OTcUX+jKWngEeBRYNd/wra/Tryu6mPAOuSv4tT0vZXAmuTtj8GfDopP438cyU2A98BRiflY5LPm5Phpw12Gyps/2LgnrS0OWnjw8nf+kKG1eK37lsrmJmlxEjo0jEzszI48M3MUsKBb2aWEg58M7OUcOCbmaWEA9/MLCUc+GZmKfH/AX9fbQZdxS2sAAAAAElFTkSuQmCC\n"
            ]
          },
          "metadata": {}
        }
      ],
      "execution_count": 43,
      "metadata": {
        "collapsed": false,
        "outputHidden": false,
        "inputHidden": false
      }
    },
    {
      "cell_type": "code",
      "source": [
        "plot_acf(df['First Seasonal Difference'].dropna())\n",
        "plot_pacf(df['First Seasonal Difference'].dropna())\n",
        "plt.show()"
      ],
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ],
            "image/png": [
              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\n"
            ]
          },
          "metadata": {}
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ],
            "image/png": [
              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\n"
            ]
          },
          "metadata": {}
        }
      ],
      "execution_count": 44,
      "metadata": {
        "collapsed": false,
        "outputHidden": false,
        "inputHidden": false
      }
    },
    {
      "cell_type": "code",
      "source": [
        "from statsmodels.tsa.arima_model import ARIMA"
      ],
      "outputs": [],
      "execution_count": 45,
      "metadata": {
        "collapsed": false,
        "outputHidden": false,
        "inputHidden": false
      }
    },
    {
      "cell_type": "code",
      "source": [
        "model = sm.tsa.statespace.SARIMAX(df['Adj Close'], order=(0,1,0),seasonal_order=(1,1,1,12))"
      ],
      "outputs": [],
      "execution_count": 46,
      "metadata": {
        "collapsed": false,
        "outputHidden": false,
        "inputHidden": false
      }
    },
    {
      "cell_type": "code",
      "source": [
        "results = model.fit()"
      ],
      "outputs": [],
      "execution_count": 47,
      "metadata": {
        "collapsed": false,
        "outputHidden": false,
        "inputHidden": false
      }
    },
    {
      "cell_type": "code",
      "source": [
        "print(results.summary())"
      ],
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "                                 Statespace Model Results                                 \n",
            "==========================================================================================\n",
            "Dep. Variable:                          Adj Close   No. Observations:                  503\n",
            "Model:             SARIMAX(0, 1, 0)x(1, 1, 1, 12)   Log Likelihood                -930.954\n",
            "Date:                            Sat, 29 Sep 2018   AIC                           1867.907\n",
            "Time:                                    17:59:18   BIC                           1880.491\n",
            "Sample:                                         0   HQIC                          1872.849\n",
            "                                            - 503                                         \n",
            "Covariance Type:                              opg                                         \n",
            "==============================================================================\n",
            "                 coef    std err          z      P>|z|      [0.025      0.975]\n",
            "------------------------------------------------------------------------------\n",
            "ar.S.L12      -0.0856      0.051     -1.682      0.092      -0.185       0.014\n",
            "ma.S.L12      -0.9365      0.029    -32.407      0.000      -0.993      -0.880\n",
            "sigma2         2.4763      0.103     23.987      0.000       2.274       2.679\n",
            "===================================================================================\n",
            "Ljung-Box (Q):                       40.07   Jarque-Bera (JB):               168.16\n",
            "Prob(Q):                              0.47   Prob(JB):                         0.00\n",
            "Heteroskedasticity (H):               1.41   Skew:                             0.15\n",
            "Prob(H) (two-sided):                  0.03   Kurtosis:                         5.86\n",
            "===================================================================================\n",
            "\n",
            "Warnings:\n",
            "[1] Covariance matrix calculated using the outer product of gradients (complex-step).\n"
          ]
        }
      ],
      "execution_count": 48,
      "metadata": {
        "collapsed": false,
        "outputHidden": false,
        "inputHidden": false
      }
    },
    {
      "cell_type": "code",
      "source": [
        "results.resid.plot()\n",
        "plt.show()"
      ],
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ],
            "image/png": [
              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\n"
            ]
          },
          "metadata": {}
        }
      ],
      "execution_count": 49,
      "metadata": {
        "collapsed": false,
        "outputHidden": false,
        "inputHidden": false
      }
    },
    {
      "cell_type": "code",
      "source": [
        "results.resid.plot(kind='kde')\n",
        "plt.show()"
      ],
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ],
            "image/png": [
              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\n"
            ]
          },
          "metadata": {}
        }
      ],
      "execution_count": 50,
      "metadata": {
        "collapsed": false,
        "outputHidden": false,
        "inputHidden": false
      }
    },
    {
      "cell_type": "code",
      "source": [
        "df['forecast'] = results.predict(start=100, end=1000)\n",
        "df[['Adj Close','forecast']].plot(xlim=['2017-01-01', '2017-11-29'],figsize=(12,8))\n",
        "plt.show()"
      ],
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 864x576 with 1 Axes>"
            ],
            "image/png": [
              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\n"
            ]
          },
          "metadata": {}
        }
      ],
      "execution_count": 51,
      "metadata": {
        "collapsed": false,
        "outputHidden": false,
        "inputHidden": false
      }
    },
    {
      "cell_type": "code",
      "source": [
        "df.tail()"
      ],
      "outputs": [
        {
          "output_type": "execute_result",
          "execution_count": 52,
          "data": {
            "text/plain": [
              "                  Open        High         Low       Close   Adj Close  \\\n",
              "Date                                                                     \n",
              "2017-12-22  174.679993  175.419998  174.500000  175.009995  173.023026   \n",
              "2017-12-26  170.800003  171.470001  169.679993  170.570007  168.633423   \n",
              "2017-12-27  170.100006  170.779999  169.710007  170.600006  168.663101   \n",
              "2017-12-28  171.000000  171.850006  170.479996  171.080002  169.137650   \n",
              "2017-12-29  170.520004  170.589996  169.220001  169.229996  167.308640   \n",
              "\n",
              "              Volume  6-month-SMA  12-month-SMA     EWMA-12  \\\n",
              "Date                                                          \n",
              "2017-12-22  16114600   172.897789    171.105867  171.603438   \n",
              "2017-12-26  33185500   172.337558    171.208850  171.146513   \n",
              "2017-12-27  21498200   171.378573    171.310188  170.764450   \n",
              "2017-12-28  16480200   170.808457    171.179193  170.514173   \n",
              "2017-12-29  25884400   169.964811    170.975697  170.021014   \n",
              "\n",
              "            12 Month Rolling Mean  12 Month Rolling Std  First Difference  \\\n",
              "Date                                                                        \n",
              "2017-12-22             171.105867              2.200831          0.000000   \n",
              "2017-12-26             171.208850              2.034138         -4.389603   \n",
              "2017-12-27             171.310188              1.851811          0.029678   \n",
              "2017-12-28             171.179193              1.951096          0.474549   \n",
              "2017-12-29             170.975697              2.222159         -1.829010   \n",
              "\n",
              "            Second Difference  Seasonal Difference  First Seasonal Difference  \\\n",
              "Date                                                                            \n",
              "2017-12-22          -0.652512             5.931885                   0.622833   \n",
              "2017-12-26          -4.389603             1.235794                  -4.696091   \n",
              "2017-12-27           4.419281             1.216064                  -0.019730   \n",
              "2017-12-28           0.444871            -1.571945                  -2.788009   \n",
              "2017-12-29          -2.303559            -2.441955                  -0.870010   \n",
              "\n",
              "            forecast  \n",
              "Date                  \n",
              "2017-12-22       NaN  \n",
              "2017-12-26       NaN  \n",
              "2017-12-27       NaN  \n",
              "2017-12-28       NaN  \n",
              "2017-12-29       NaN  "
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              "      <th>2017-12-22</th>\n",
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